{"id":2,"date":"2017-03-22T15:10:45","date_gmt":"2017-03-22T15:10:45","guid":{"rendered":"https:\/\/blogg.uit.no\/api009\/?page_id=2"},"modified":"2026-03-03T16:28:05","modified_gmt":"2026-03-03T15:28:05","slug":"sample-page","status":"publish","type":"page","link":"https:\/\/blogg.uit.no\/api009\/sample-page\/","title":{"rendered":"List of Publications"},"content":{"rendered":"


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Updated:\u00a0 \u00a0March, 2026<\/span>
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    \n
  1. Cherdantsev, M.; \u00a0 <\/span> Piatnitski, A.; \u00a0 <\/span> Velcic, I. \u00a0 <\/span> \u00a0\u00a0
    \nHomogenisation and spectral convergence of high-contrast convolution type operators. <\/span> (English).
    \n J. Diff. Equations; <\/em> 465<\/strong>(4), 114247, (2026). \u00a0 PDF file <\/a>
    \n<\/ins><\/li>\n
  2. Borisov, D.; \u00a0 <\/span> Piatnitski, A.; \u00a0 <\/span> Zhizhina, E. \u00a0 <\/span> \u00a0\u00a0
    \nOn Infinite Discrete Spectrum of Convolution Operators with Potentials. <\/span> (English).
    \n Functional Analysis and Its Applications; <\/em> 59<\/strong>(4), 88-92 (2025). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  3. Piatnitski, A.; \u00a0 <\/span> Sloushch, V.; \u00a0 Suslina, T.; \u00a0 Zhizhina, E.; <\/span> \u00a0\u00a0
    \nHomogenization of the Levy-type Operators. <\/span> (English).
    \n Functional Analysis and Its Applications; \u00a0<\/em> 59<\/strong>(3), 251-257, (2025). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  4. Piatnitski, A.; \u00a0 <\/span> Zhizhina, E.; \u00a0 ; <\/span> \u00a0\u00a0
    \nHomogenization of parabolic problems for non-local convolution type operators under non-diffusive scaling of coefficients. <\/span> (English).
    \n Analysis and Mathematical Physics; \u00a0 <\/em>15<\/strong>, paper 86, (2025). \u00a0     PDF file <\/a><\/ins><\/li>\n
  5. Huang, G.; \u00a0Kuksin, S.; <\/span> Piatnitski, A.; \u00a0 <\/span> \u00a0\u00a0
    \nAveraging for stochastic perturbations of integrable systems. <\/span> (English).
    \n J. Dynam. Differential Equations; \u00a0 <\/em>37<\/strong>(2), 1053-1105 (2025). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  6. Borisov, D.; \u00a0 <\/span> Piatnitski, A.; \u00a0 <\/span> Zhizhina, E. \u00a0 <\/span> \u00a0\u00a0
    \nConvolution Type Operators With Potential: Essential and Infinite Discrete Spectrum. <\/span> (English).
    \n Math. Methods Appl. Sci.; \u00a0 <\/em>48<\/strong>(8), 8687-8695 (2025). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  7. Amaziane, B.; Jurak, M.; Pankratov, L.;\u00a0 <\/span> Piatnitski, A.; \u00a0 ; <\/span> \u00a0\u00a0
    \nExistence of weak solutions for nonisothermal immiscible compressible two-phase flow in porous media. <\/span> (English).
    \n Nonlinear Analysis; Real World Applications;\u00a0 <\/em>85<\/strong>, paper 104364, (2025). \u00a0     PDF file <\/a><\/ins><\/li>\n
  8. Piatnitski, A.; \u00a0 <\/span> Zhizhina, E.; \u00a0 ; <\/span> \u00a0\u00a0
    \nHomogenization of convolution type semigroups in high contrast media. <\/span> (English).
    \n Analysis and Mathematical Physics; \u00a0 <\/em>15<\/strong>, paper 36, (2025). \u00a0     PDF file <\/a><\/ins><\/li>\n
  9. Piatnitski, A.; \u00a0 <\/span> Zhizhina, E.; \u00a0 ; <\/span> \u00a0\u00a0
    \nHomogenization of non-autonomous evolution problems for convolution type operators in randomly evolving media. <\/span> (English).
    \n J. Math. Pures Appl.; \u00a0 <\/em>194<\/strong>, 103660, (2025). \u00a0     PDF file <\/a><\/ins><\/li>\n
  10. Piatnitski, A.; \u00a0 <\/span> Rybalko, V.; \u00a0 ; <\/span> \u00a0\u00a0
    \nHomogenization of nonlocal spectral problems. <\/span> (English).
    \n Z. Angew. Math. Phys.; \u00a0 <\/em>75<\/strong>, 226, (2024). \u00a0     PDF file <\/a><\/ins><\/li>\n
  11. Kleptsyna, M.; \u00a0 <\/span> Piatnitski, A.; \u00a0 <\/span> Popier, A.; \u00a0 ; <\/span> \u00a0\u00a0
    \nHigher order homogenization for random non-autonomous parabolic operators. <\/span> (English).
    \n Stochastics and Partial Differential Equations: Analysis and Computations; \u00a0 <\/em>12<\/strong>(1), 2151-2180, (2024). \u00a0     PDF file <\/a><\/ins><\/li>\n
  12. Piatnitski, A.; \u00a0 <\/span> Sloushch, V.; \u00a0 Suslina, T.; \u00a0 Zhizhina, E.; <\/span> \u00a0\u00a0
    \nOn the Homogenization of Nonlocal Convolution Type Operators. <\/span> (English).
    \n Russ. J. Math. Phys.; \u00a0 <\/em>31<\/strong>(1), 137-145, (2024). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  13. Piatnitski, A.; \u00a0 <\/span> Shamaev, A.; \u00a0 Zhizhina, E. \u00a0 <\/span> \u00a0\u00a0
    \nMathematical multi-scale model of water purification. <\/span> (English).
    \n Math. Methods Appl. Sci.; \u00a0 <\/em>46<\/strong>(17), 18185-18202, (2023). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  14. Borisov, D.; \u00a0 <\/span> Piatnitski, A.; \u00a0 <\/span> Zhizhina, E. \u00a0 <\/span> \u00a0\u00a0
    \nSpectrum of One-Dimensional Potential Perturbed by a Small Convolution Operator: General Structure. <\/span> (English).
    \n Mathematics; \u00a0 <\/em>11<\/strong>(1), 4042 (2023). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  15. Piatnitski, A.; \u00a0 <\/span> Zhizhina, E. \u00a0 <\/span> \u00a0\u00a0
    \nHomogenization of Non-Autonomous Operators of Convolution Type in Periodic Media. <\/span> (English).
    \n Markov Processes and Related Field; \u00a0 <\/em>29<\/strong>(2), 173-188 (2023). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  16. Alicandro, R.; \u00a0 Ansini, N.; \u00a0 Braides, A.; \u00a0 <\/span> Piatnitski, A.; \u00a0 <\/span> Tribuzio, A.; \u00a0 <\/span> \u00a0\u00a0 A Variational Theory of Convolution-Type Functionals. <\/em><\/span> (English). Springer, \u00a0 Singapore, 2023. \u00a0 PDF file <\/a> <\/ins><\/li>\n
  17. Mikelic, A.; \u00a0 <\/span> Piatnitski, A.; \u00a0 <\/span> \u00a0\u00a0 Homogenization of the linearized ionic transport equations in random porous media. <\/span> (English).
    \n Nonlinearity; \u00a0 <\/em>36<\/strong>, 3835-3865 (2023). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  18. Amaziane, B.; \u00a0 <\/span> Piatnitski, A.; \u00a0 <\/span> Zhizhina, E. \u00a0 <\/span> \u00a0\u00a0
    \nHomogenization of Diffusion in High Contrast Random Media and Related Markov Semigroups. <\/span> (English).
    \n Discrete and Continuous Dynamical Systems – Series B; \u00a0 <\/em>28<\/strong>(8), 4661-4682 (2023). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  19. Piatnitski, A.; \u00a0 <\/span> Sloushch, V.; \u00a0 Suslina, T.; \u00a0 Zhizhina, E. \u00a0 <\/span> \u00a0\u00a0 On operator estimates in homogenization of nonlocal operators of convolution type. <\/span> (English).
    \n J. Diff. Equations; \u00a0 <\/em>352<\/strong>, 153-188 (2023). \u00a0     PDF file <\/a> <\/ins><\/li>\n
  20. Borisov, D.; \u00a0 <\/span> Piatnitski, A.; \u00a0 <\/span> Zhizhina, E. \u00a0 <\/span> \u00a0\u00a0
    \nOn the spectrum of convolution operator with a potential. <\/span> (English).
    \n J. Math. Anal. Appl.; \u00a0 <\/em>517<\/strong>(1), 126568 (2023). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  21. Piatnitski, A.; \u00a0 <\/span> Pirogov, S.; \u00a0 Zhizhina, E. \u00a0 <\/span> \u00a0\u00a0
    \nLarge deviations for Markov jump processes in periodic and locally periodic environments. <\/span> (English).
    \n Ann. Appl. Probab. ; \u00a0 <\/em>32<\/strong>(6), 4611-4641 (2022). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  22. Kleptsyna, M.; \u00a0 <\/span> Piatnitski, A. \u00a0 <\/span> Popier, A.; \u00a0 <\/span> \u00a0\u00a0
    \nAsymptotic decomposition of solutions to parabolic equations with a random microstructure. <\/span> (English).
    \n Pure Appl. Funct. Anal. ; \u00a0 <\/em>7<\/strong>(4), 1339-1382 (2022). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  23. Borisov, D.; \u00a0 <\/span> Piatnitski, A.; \u00a0 <\/span> Zhizhina, E. \u00a0 <\/span> \u00a0\u00a0
    \nSpectrum of a convolution operator with potential. <\/span> (English).
    \n Russian Math. Surveys; \u00a0 <\/em>77<\/strong>(3), 546-548 (2022). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  24. Braides, A.; \u00a0 <\/span> Piatnitski, A. \u00a0 <\/span> \u00a0\u00a0
    \nHomogenization of quadratic convolution energies in periodically perforated domains. <\/span> (English).
    \n Adv. Calc. Var.; \u00a0 <\/em>15<\/strong>(3), 351-368 (2022). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  25. Braides, A.; \u00a0 <\/span> Piatnitski, A. \u00a0 <\/span> \u00a0\u00a0
    \nHomogenization of Ferromagnetic Energies on Poisson Random Sets in the Planes. <\/span> (English).
    \n Archive Rational Mech. Anal.; \u00a0 <\/em>243<\/strong>(2), 433-458 (2022). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  26. Alicandro, R.; \u00a0 Cicalese, M.; \u00a0 Luca, L.; \u00a0 Braides, A.; \u00a0 <\/span> Piatnitski, A. \u00a0 <\/span> \u00a0\u00a0
    \nTopological Singularities in Periodic Media: Ginzburg\u2013Landau and Core-Radius Approaches. <\/span> (English).
    \n Archive Rational Mech. Anal.; \u00a0 <\/em>243<\/strong>(2), 559-609 (2022). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  27. Amaziane, B.; \u00a0 Pankratov, L.; \u00a0 <\/span> Piatnitski, A. \u00a0 <\/span> \u00a0\u00a0
    \nHomogenization of immiscible compressible
    \ntwo\u2013phase flow in random porous media. <\/span> (English).
    \n J. Diff. Equations; \u00a0 <\/em>305<\/strong>, 206-223 (2021). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  28. Braides, A.; \u00a0 <\/span> Piatnitski, A. \u00a0 <\/span> \u00a0\u00a0
    \nHomogenization of random convolution energies. <\/span> (English).
    \n J. London Math. Soc.; \u00a0 <\/em>104<\/strong>(2), 295-319 (2021). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  29. Amaziane, B.; \u00a0 Jurak, M.; \u00a0 Pankratov, L; \u00a0 <\/span> Piatnitski, A. \u00a0 <\/span> \u00a0\u00a0
    \nHomogenization of nonisothermal immiscible incompressible
    \ntwo-phase flow in double porosity media. <\/span> (English).
    \n Nonlinear Analysis: Real World Applications; \u00a0 <\/em>61<\/strong>, 103323 (2021). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  30. Piatnitski, A.; \u00a0 <\/span> Ptashnyk, M. <\/span>
    \n Homogenization of biomechanical models of plant tissues with randomly distributed cells. <\/span> (English).
    \n Nonlinearity;<\/em> 33<\/strong>, 5510-5542 (2020). \u00a0     PDF file <\/a><\/p>\n

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  31. Kondratiev, Yu.; \u00a0 <\/span> Piatnitski, A. \u00a0 <\/span> Zhizhina, E. <\/span> \u00a0\u00a0
    \nAsymptotics of fundamental solutions for time fractional equations with convolution kernels. <\/span> (English).
    \n Fractional Calculus and Applied Analysis; \u00a0 <\/em>23<\/strong>(4), 1161-1187 (2020). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  32. Piatnitski, A.; \u00a0 <\/span> Zhizhina, E. <\/span> \u00a0\u00a0\u00a0
    \nStochastic homogenization of convolution type operators. <\/span> (English). J. Math. Pures Appl.; \u00a0 <\/em>134<\/strong>, 36-71 (2020). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  33. Zhizhina, E. <\/span>Piatnitski, A.; \u00a0 <\/span> \u00a0\u00a0\u00a0
    \nOn the Behaviour at Infinity of Solutions to Nonlocal Parabolic Type Problems. <\/span> (English). The Bulletin of Irkutsk State University. Series Masthematics; \u00a0 <\/em>30<\/strong>, 99-113 (2019). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  34. Piatnitski, A.; \u00a0 <\/span> Zhizhina, E. <\/span> \u00a0\u00a0\u00a0
    \nHomogenization of biased convolution type operators. <\/span> (English). Asymptotic Analysis; \u00a0 <\/em>115<\/strong>(3-4), 241-262 (2019). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  35. Kassmann, M.; \u00a0 <\/span> Piatnitski, A.; \u00a0 <\/span> Zhizhina, E. <\/span> \u00a0\u00a0\u00a0
    \nHomogenization of Levy-type operators with oscillating coefficients. <\/span> (English).
    \n SIAM J. Math. Analysis; \u00a0 <\/em>51<\/strong>(5), 3641-3665 (2019). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  36. Piatnitski, A.; <\/span> \u00a0 Rybalko, V.;<\/span>
    \n Singularly Perturbed Spectral Problems in a Thin Cylinder with Fourier Conditions on its Bases <\/span>(English).
    \n Journal of Mathematical Physics, Analysis, Geometry, <\/em> 15<\/strong> (2), 256-277 \u00a0 (2019).     PDF file <\/a>
    \n<\/p>\n

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  37. Piatnitskii, A.; <\/span> \u00a0 Pirogov, S.; \u00a0 Zhizhina, E. <\/span> \u00a0\u00a0
    \nLimit behaviour of diffusion in high-contrast periodic media and
    \nrelated Markov semigroups. <\/span> (English).
    \n Applicable Analysis, \u00a0 <\/em>98<\/strong>(1-2), \u00a0 217\u2013231 \u00a0 (2019).     PDF file <\/a>
    \n<\/ins><\/li>\n
  38. Gadyl’shin, R.; \u00a0 <\/span> Piatnitskii, A. \u00a0 <\/span> Chechkin, G. <\/span> \u00a0\u00a0
    \nOn the asymptotic behaviour of eigenvalues of a boundary-value problem
    \nin a planar domain of Steklov sieve type. <\/span> (English).
    \n Izvestiya: Mathematics; \u00a0 <\/em>82<\/strong>(6), 1108-1135 (2018). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  39. Grigor’yan, A.; \u00a0 Kondratiev, Yu.; \u00a0 <\/span> Piatnitski, A. \u00a0 <\/span> Zhizhina, E. <\/span> \u00a0\u00a0
    \nPointwise estimates for heat kernels of convolution-type operators. <\/span> (English).
    \n Proc. London Math. Soc.; \u00a0 <\/em>117<\/strong>(4), 849-880 (2018). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  40. Mathieu, P.; \u00a0 <\/span> Piatnitski, A.; \u00a0 <\/span> \u00a0\u00a0\u00a0
    \nSteady States, Fluctuation\u2013Dissipation Theorems and Homogenization
    \nfor Reversible Diffusions in a Random Environment. <\/span> (English).
    \n Arch. Rational Mech. Anal.; \u00a0 <\/em>230<\/strong>, 277-320 (2018). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  41. Braides, A.; \u00a0 Causin, A.; \u00a0 <\/span> Piatnitski, A.; \u00a0 <\/span> Solci, M. <\/span> \u00a0\u00a0\u00a0
    \nAsymptotic Behaviour of Ground States for Mixtures of Ferromagnetic
    \nand Antiferromagnetic Interactions in a Dilute Regime. <\/span> (English).
    \n J. Stat. Phys.; \u00a0 <\/em>171<\/strong>, 1096-1111 (2018). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  42. Amaziane, B.; \u00a0 Jurak, M.; \u00a0 Pankratov L.; \u00a0 <\/span> Piatnitski, A. <\/span>\u00a0\u00a0\u00a0
    \nHomogenization of nonisothermal immiscible incompressible
    \ntwo-phase flow in porous media. <\/span> (English).
    \n Nonlinear Analysis: Real World Applications; \u00a0 <\/em>43<\/strong>, 192-212 (2018). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  43. Kondratiev, Yu.; \u00a0 Molchanov, S.; \u00a0 <\/span> Piatnitski, A. \u00a0 <\/span> Zhizhina, E. <\/span> \u00a0\u00a0
    \nResolvent bounds for jump generators. <\/span> (English).
    \n Applicable Analysis; \u00a0 <\/em>97<\/strong>(3), 323-336 (2018). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  44. Pettersson, I.; \u00a0 <\/span> Piatnitski, A. \u00a0 <\/span> \u00a0\u00a0
    \nStationary convection\u2013diffusion equation in an infinite cylinder. <\/span> (English).
    \n Journal of Differential Equations; \u00a0 <\/em>264<\/strong>(7), 4456-4487 (2018). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  45. Amaziane, B.; \u00a0 Jurak, M.; \u00a0 Pankratov L.; \u00a0<\/span> Piatnitski, A. <\/span> \u00a0\u00a0
    \nAn existence result for nonisothermal immiscible
    \nincompressible 2-phase flow in heterogeneous porous media. <\/span> (English).
    \n Math. Meth. Appl. Sci.; \u00a0 <\/em>40<\/strong>, 7510-7539 (2017). \u00a0     PDF file <\/a>
    \n<\/ins><\/li>\n
  46. Allaire, G. <\/span>Piatnitski, A.; <\/span>
    \n On the asymptotic behaviour of the kernel
    \nof an adjoint convection-diffusion operator in a long cylinder. <\/span> (English).
    \n Rev. Mat. Iberoam. ;<\/em> 33<\/strong>(4), 1123-1148 (2017). \u00a0     PDF file <\/a><\/p>\n

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  47. Piatnitski, A.; \u00a0 <\/span> Zhizhina, E. <\/span>
    \n Scaling Limit of Symmetric Random Walk
    \nin High-Contrast Periodic Environment. <\/span> (English).
    \n J. Stat. Phys. ;<\/em> 169<\/strong>(3), 595-613 (2017). \u00a0     PDF file <\/a><\/p>\n

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  48. Piatnitski, A.; \u00a0 <\/span> Ptashnyk, M. <\/span>
    \n Homogenization of Biomechanical Models for Plant Tissues. <\/span> (English).
    \n Multiscale Model. Simul.;<\/em> 15<\/strong>(1), 339-387 (2017). \u00a0     PDF file <\/a><\/p>\n

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  49. Amaziane, B.; \u00a0 Pankratov L.; \u00a0 <\/span> Piatnitski, A. <\/span>\u00a0\u00a0
    \nAn improved homogenization result for immiscible
    \ncompressible two-phase flow in porous media. <\/span> (English).
    \n Networks and Heterogeneous Media;<\/em> 12<\/strong>(1), 147-171 (2017). \u00a0     PDF file <\/a><\/p>\n

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  50. Piatnitski, A.; <\/span> \u00a0 Zhizhina, E.; \u00a0 <\/span>
    \n Periodic homogenization of nonlocal operators
    \nwith a convolution-type kernel <\/span>(English).
    \n SIAM J. Math. Analysis, \u00a0<\/em>49<\/strong>(1), \u00a0 64-81 \u00a0 (2017). \u00a0 \u00a0     PDF file <\/a> <\/p>\n

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  51. Heintz, A.; \u00a0<\/span>Piatnitski, A.; <\/span>
    \n Osmosis for non-electrolyte solvents in
    \npermeable periodic porous media<\/span>.
    \n Networks and Heterogeneous Media, \u00a0<\/em> 11<\/strong> (3),\u00a0 471–499, \u00a0 \u00a0 (2016). \u00a0 \u00a0     PDF file <\/a> <\/p>\n

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  52. Gaudiello, A.; <\/span>\u00a0Piatnitski, A.; <\/span> Panasenko, G.;<\/span>
    \n Asymptotic analysis and domain decomposition for
    \na biharmonic problem in a thin multi-structure<\/span>.
    \nCommunications in Contemporary Mathematics, <\/em> 18<\/strong> (5), (2016).     PDF file <\/a>
    \n<\/p>\n

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  53. Gadyl’shin, R.; <\/span>\u00a0Piatnitski, A.L.; <\/span> \u00a0 \u00a0 Chechkin, G.A.;<\/span>
    \n Spectral Problem with Steklov Condition on a Thin Perforated Interface<\/span>. Doklady Mathematics, <\/em> 93<\/strong> (1), 52-57 \u00a0 (2016).     PDF file <\/a>
    \n<\/p>\n

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  54. Piatnitski, A.; <\/span> \u00a0 Rybalko, V.;<\/span>
    \n On the first eigenpair of singularly perturbed operators with oscillating coefficients <\/span>(English).
    \n Communications in Partial Differential Equations, <\/em> 41<\/strong> (1), 1-31 \u00a0 (2016).     PDF file <\/a>
    \n<\/p>\n

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  55. Piatnitski, A.; <\/span> \u00a0 Zhikov, V.;<\/span>
    \n Homogenization of random Navier\u2013Stokes-type system for electrorheological fluid <\/span>(English).
    \n Journal of Differential Equations, <\/em>260<\/strong>(5), 4110-4129 \u00a0 (2016).     PDF file <\/a>
    \n<\/p>\n

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  56. Amirat, Y.; \u00a0 Bodart, O.; \u00a0 Chechkin, G.A.; <\/span>\u00a0Piatnitski, A.L.; <\/span>
    \n Asymptotics of a spectral-sieve problem <\/span>(English).
    \n Journal of Mathematical Analysis and Applications, <\/em> 435<\/strong> (2), 1652-1671 \u00a0 (2016).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  57. Piatnitski, A.; <\/span> \u00a0 Rybalko, A.;\u00a0Rybalko, V.; <\/span>
    \n Singularly perturbed spectral problems with Neumann boundary conditions <\/span>(English).
    \n Complex Variables and Elliptic Equations, <\/em> 61<\/strong> (2), 252-274 \u00a0 (2016).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  58. Braides, A.; \u00a0 Chiado Piat, V.; <\/span> Piatnitski, A.L.; <\/span>
    \n Homogenization of Discrete High-Contrast Energies <\/span>(English).
    \n SIAM J. Math. Anal., <\/em> 47<\/strong> (4), 3064-3091 \u00a0 (2015).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  59. Ferreira, R.; \u00a0 Mascarenhas, L.; \u00a0<\/span>,\u00a0Piatnitski, A. <\/span>;
    \n Spectral analysis in thin tubes with axial heterogeneities. <\/span>(English).
    \nPort. Math., <\/em>72<\/strong>(2), 247-266 (2015). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  60. Kleptsyna, M.; \u00a0<\/span>,\u00a0Piatnitski, A. <\/span>; Popier, A.; <\/span>
    \n Homogenization of random parabolic operators.
    \nDiffusion approximation.<\/span>(English).
    \nStoch. Proc. Appl., <\/em>125<\/strong>, No.6, 1926-1944 (2015). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  61. \u00a0Piatnitski, A. <\/span>;Rybalko, A.; \u00a0 Rybalko, V.; <\/span>
    \n Ground States of Singularly Perturbed Convection-Diffusion Equation with Oscillating Coefficients <\/span>(English).
    \nESAIM: COCV, <\/em>20<\/strong>, No.4, 1059-1077 (2014). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  62. Allaire, G.; \u00a0 Brizzi, R.; \u00a0 Dufreche, J.-F.; \u00a0 Mikelic, A.; <\/span> Piatnitski, A.; <\/span>
    \n Role of non-ideality for the ion transport in porous media: Derivation of the macroscopic equations using upscaling. <\/span>(English).
    \n Physica D: Nonlinear Phenomena, <\/em> 82<\/strong> , 39-60 \u00a0 (2014).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  63. Amaziane, B.; \u00a0 Pankratov L.; \u00a0 <\/span> Piatnitski, A. <\/span>\u00a0\u00a0
    \nHomogenization of immiscible compressible two-phase flow in highly heterogeneous porous media with discontinuous capillary pressures. <\/span> (English).
    \n Mathematical Models and Methods in Applied Sciences;<\/em> 24<\/strong>(7), 1421-1451 (2014). \u00a0     PDF file <\/a><\/p>\n

    <\/ins><\/li>\n

  64. Chechkin, G.A.; \u00a0 D\u2019Apice C.; \u00a0 De Maio. U.; \u00a0 <\/span> Piatnitski, A. <\/span>
    \n On the rate of convergence of solutions in domain with random multilevel oscillating boundary. <\/span> (English).
    \n Asymptotic Analysis;<\/em> 87<\/strong>(1), 1-28 (2014). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  65. Hairer, M.; \u00a0 Pardoux, E.; \u00a0 <\/span> Piatnitski, A. <\/span>\u00a0\u00a0
    \nRandom homogenisation of a highly oscillatory singular potential. <\/span> (English).
    \n Stoch. PDE: Anal. Comp..;<\/em> 1<\/strong>(4), 571-605 (2013). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  66. Chiado Piat, V.; \u00a0 Pankratova, I.; \u00a0 <\/span> Piatnitski, A. <\/span>\u00a0\u00a0
    \nLocalization effect for a spectral problem in a perforated domain with Fourier boundary conditions. <\/span> (English).
    \n SIAM J. Math. Anal.;<\/em> 45<\/strong>(3), 1302-1327 (2013). \u00a0     PDF file <\/a><\/p>\n

    <\/ins><\/li>\n

  67. Allaire, G.; \u00a0 Brizzi, R.; \u00a0 Dufreche, J.-F.; \u00a0 Mikelic, A.; <\/span> Piatnitski, A.; <\/span>
    \n Ion transport in porous media: derivation of the macroscopic equations using upscaling and properties of the effective coefficients <\/span>(English).
    \n Computational Geosciences, <\/em> 17<\/strong>(3) , 479-495 \u00a0 (2013).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  68. Amaziane, B.; \u00a0 Panrratov, L.; <\/span> Piatnitski, A.; <\/span>
    \n The existence of weak solutions to immiscible compressible two-phase flow in porous media: the case of fields with different rock-types. <\/span>(English).
    \n DCDS-B, <\/em> 18<\/strong>(5), 1217-1251 \u00a0 (2013).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  69. Allaire, G.; \u00a0 Dufreche, J.-F.; \u00a0 Mikelic, A.; <\/span> Piatnitski, A.; <\/span>
    \n Asymptotic analysis of the Poisson\u2013Boltzmann equation describing electrokinetics in porous media. <\/span>(English).
    \n Nonlinearity, <\/em> 26<\/strong>(3) , 881-910 \u00a0 (2013).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  70. Braides, A.; <\/span> Piatnitski, A.L <\/span>
    \n Homogenization of surface and length energies for spin systems. <\/span> (English).
    \n J. Func. Analysis, <\/em> 264<\/strong> (6),1296-1328 \u00a0 (2013).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  71. Braides, A.; <\/span> Piatnitski, A.L <\/span>
    \n Variational Problems with Percolation: Dilute Spin Systems at Zero Temperature <\/span>(English). ‘
    \n J. Stat. Phys., <\/em> 149<\/strong> (5), 846-864 \u00a0 (2012).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  72. Ferreira, R.; Mascarenhas, L.; <\/span> Piatnitski, A.L.; <\/span>
    \n Spectral analysis in a thin domain with periodically oscillating characteristics <\/span>(English).
    \n ESAIM: COCV, <\/em> 18<\/strong> (2), 427-451 \u00a0 (2012).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  73. Chechkin, G.A.; \u00a0 Cioranescu, D.; Damlamian, A.; <\/span> Piatnitski, A.L.; <\/span>
    \n On boundary value problem with singular inhomogeneity concentrated on the boundary <\/span>(English).
    \n J. Math. Pures Appl., <\/em> 98<\/strong> (2), 115-138 \u00a0 (2012).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  74. Allaire, G; \u00a0 Pankratova, I.; \u00a0 <\/span> Piatnitski, A. <\/span>
    \nHomogenization of a nonstationary convection-diffusion equation in a thin rod and in a layer <\/span> (English).
    \n SeMA Journal;<\/em> 58<\/strong>, 53-95 (2012). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  75. Pardoux, E.; \u00a0 <\/span> Piatnitski, A. <\/span>
    \nHomogenization of a singular random one-dimensional PDE with time-varying coefficients. <\/span> (English).
    \n Annals of Prob.;<\/em> 40<\/strong>(3), 1316-1356 (2012). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  76. Chiado Piat, V.; \u00a0 Nazarov, S.; \u00a0 <\/span> Piatnitski, A. <\/span>
    \nSteklov problems in perforated domains with a coefficient of indefinite sign <\/span> (English).
    \n Networks Heter. Media;<\/em> 7<\/strong>(1), 151-178 (2012). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  77. Gantert, N; \u00a0 Mathieu, P.; \u00a0 <\/span> Piatnitski, A. <\/span>
    \nEinstein relation for reversible diffusions in a random environment. <\/span> (English).
    \n Comm. Pure Appl. Math.;<\/em> 65<\/strong>(2), 187-228 (2012). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  78. Allaire, G; \u00a0 Pankratova, I.; \u00a0 <\/span> Piatnitski, A. <\/span>
    \nHomogenization and concentration for a diffusion equation with large convection in a bounded domain. <\/span> (English).
    \n J. Func. Analysis;<\/em> 262<\/strong>(1), 300-330 (2012). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  79. \u00a0Piatnitski, A. <\/span>; Rybalko, V <\/span>
    \n Homogenization of boundary value problems for monotone operators in perforated domains with rapidly oscillating boundary conditions of Fourier type. <\/span>(English).
    \nJournal of Mathematical Sciences, <\/em>177<\/strong>, No.1, 109-140 (2011). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  80. Cardone, G; \u00a0 Nazarov, S; \u00a0 <\/span> Piatnitski, A. <\/span>
    \n On the rate of convergence for perforated plates with a small interior Dirichlet zone. <\/span> (English).
    \n Zeitschrift fur Angewandte Mathematik und Physik (ZAMP), \u00a0<\/em> 62<\/strong>(3), 439-468 (2011). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  81. Nazarov, S; \u00a0 Pankratova, I.; \u00a0 <\/span> Piatnitski, A. <\/span>
    \nHomogenization of the spectral problem for periodic elliptic operators with sign-changing density function. <\/span> (English).
    \n Archive Rat. Mech. Analysis, \u00a0<\/em> 200<\/strong>(3), 747-788 (2011). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  82. Pankratova, I.; \u00a0 <\/span> Piatnitski, A. <\/span>
    \nHomogenization of convection-diffusion equation in infinite cylinder. <\/span> (English).
    \n Networks & Heterogeneous Media (NHM), \u00a0<\/em> 6<\/strong>(1), 111-126 (2011). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  83. Pankratova, I.; \u00a0 <\/span> Piatnitski, A. <\/span>
    \nHomogenization of spectral problem for locally periodic elliptic operators with sign-changing density function.<\/span> (English).
    \nJ. Diff. Equations. \u00a0 <\/em> 250<\/strong>, 3088-3134 (2011). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  84. Amirat, Y.; \u00a0 Bodart, O.; \u00a0 Chechkin, G. A.;<\/span>; Piatnitski, A. L.<\/span>
    \nBoundary homogenization in domains with randomly oscillating boundary. <\/span>(English).
    \nStoch. Proc. Appl. \u00a0<\/em> 121<\/strong>(1), 1-23 (2011). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  85. Allaire, G.; \u00a0 Mikelic, A.; <\/span> Piatnitski, A.; \u00a0 <\/span>
    \n Homogenization of the linearized ionic transport equations
    \nin rigid periodic porous media. <\/span>(English).
    \n J. of Math. Phys., <\/em> 51<\/strong>(12) , 123103-1 – 123103-18 \u00a0 (2010).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  86. Amaziane, B.; \u00a0 Antontsev, S.; \u00a0 Pankratov, L.; <\/span> Piatnitski, A.; <\/span>
    \n Homogenization of Immiscible Compressible Two-Phase Flow in Porous Media: Application to Gas Migration in a Nuclear Waste Repository. <\/span>(English).
    \n MMS SIAM. <\/em> 8<\/strong> (5), 2023\u20132047 \u00a0 (2010).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  87. Bourgeat, A.<\/span>; Piatnitski, A. <\/span>
    \n Averaging of a singular random source term in a diffusion convection equation.<\/span> (English).
    \n SIAM J. Math. Analysis\u00a0<\/em> 42<\/strong>(6), 2626-2651 (2010). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  88. Nazarov, S.A.; <\/span> Piatnitski, A. <\/span>
    \n Homogenization of the spectral Dirichlet problem for a system of differential equations with rapidly oscillating coefficients and changing sign sensity. <\/span>(English).
    \n Journal of Mathematical Sciences. <\/em> 169<\/strong> (2), 212\u2013248 \u00a0 (2010).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  89. Amaziane, B.; \u00a0 Pankratov, L.; <\/span> Piatnitski, A.; <\/span>
    \n Homogenization of variational functionals with nonstandard growth in perforated domains. <\/span>(English).
    \n Networks and Heterogeneous Media. <\/em> 5<\/strong> (2), 189\u2013215 \u00a0 (2010).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  90. Donato, P.; <\/span> Piatnitski, A. <\/span>
    \n On the effective interfacial resistance through rough surfaces.<\/span>(English).
    \n Comm. Pure Appl. Analysis, <\/em> 9<\/strong> (5), 1295-1310 \u00a0 (2010).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  91. Allaire, G.; <\/span> Piatnitski, A.; <\/span>
    \n Homogenization of nonlinear reaction-diffusion equation with a large reaction term. <\/span>(English).
    \n Ann Univ Ferrara, <\/em> 56<\/strong> (1), 141-161 \u00a0 (2010).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  92. Bourgeat, A.; \u00a0 Marusic-Paloka, E.; <\/span> Piatnitski, A.; <\/span>
    \n Scaling up of an underground nuclear waste repository including a possibly damaged zone. <\/span>(English).
    \n Asymptotic Analysis, <\/em> 67<\/strong> (3-4), 147-165 \u00a0 (2010).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  93. Allaire, G.; \u00a0 Brizzi, R.; \u00a0 Mikelic, A.; <\/span> Piatnitski, A.; <\/span>
    \n Two-scale expansion with drift approach to the Taylor dispersion for reactive transport through porous media. <\/span>(English).
    \n Chemical Engineering Science, <\/em> 65<\/strong>, 2292-2300 \u00a0 (2010).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  94. Panasenko, G.; \u00a0 Pankratova, I.; <\/span> Piatnitski, A.; <\/span>
    \n Homogenization of a Convection-Diffusion Equation in a Thin Rod Structure. <\/span>(English).
    \n Integral Mthods in Science and Engineering. \u00a0 Vol.1<\/strong>. Analytic Methods.<\/em> C.Constanda, M.E.Perez (Eds.) 279-290 \u00a0 Birkhauser \u00a0(2010).     \u00a0PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  95. Allaire, G.; \u00a0 Mikelic, A.; <\/span> Piatnitski, A.; <\/span>
    \n Homogenization Approach to the dispersion theory for reactive transport through porous media. <\/span>(English).
    \n SIAM J. Math. Analysis, <\/em> 42<\/strong> (1), 125-144 \u00a0 (2010).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  96. Chiado Piat, V.; <\/span> Piatnitski, A.L.; <\/span>
    \n Gamma-convergence approach to variational problems in perforated domains with Fourier boundary conditions. <\/span>(English).
    \n ESAIM: COCV <\/em> 16<\/strong> (1), 148-175 \u00a0 (2010).     PDF file <\/a>
    \n\u00a0<\/ins><\/li>\n
  97. Lukkassen, D.; \u00a0 Meidell, A.; <\/span> Piatnitski, A.L.; <\/span>\u00a0 Shamaev, A.; <\/span>
    \n Twisting a thin periodically perforated elastic rod. <\/span>(English).
    \n Appl. Analysis <\/em> 88<\/strong> (10-11), 1563-1577 \u00a0 (2009).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  98. Amaziane, B.; \u00a0 Antontsev, S.; \u00a0 Pankratov, L.;<\/span> Piatnitski, A.; <\/span>
    \n Homogenization of p-Laplacian in perforated domain. <\/span>(English).
    \n Ann. I. H. Poincare, Non Linear Analysis <\/em> 26<\/strong>(6), 2457\u20132479 \u00a0 (2009).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  99. Lukkassen, D.; \u00a0 Meidell, A.; <\/span> Piatnitski, A.L.; <\/span>\u00a0 Shamaev, A.; <\/span>
    \n Symmetry-Relations for Elastically Deformed Periodic Rod-Structures. <\/span>(English).
    \n M3AS <\/em> 19<\/strong> (4), 501-525 \u00a0 (2009).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  100. Amaziane, B.; \u00a0 Pankratov, L.; <\/span> Piatnitski, A.L.; <\/span>
    \n Nonlinear flow through double porosity media in variable exponent Sobolev spaces. <\/span>(English).
    \n Nonlinear Analysis: Real World Applications <\/em> 10<\/strong>, 2521-2530 \u00a0 (2009).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  101. Pankratova, I.; <\/span> Piatnitski, A.L.; <\/span>
    \n On the behaviour at infinity of solutions to stationary convection-diffudion equation in a cylinder. <\/span>(English).
    \n Discrete and Continuous Dynamical Systems, Series B <\/em> 11<\/strong> (4), 935-970 \u00a0 (2009).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  102. Braides, A. ; <\/span> Piatnitski, A.L. ; <\/span>
    \n Overall Properties of a Discrete Membrane with Randomly Distributed Defects. <\/span>(English).
    \n Arch. Rational Mech. Anal. <\/em> 189<\/strong> (2), 301-323 \u00a0 (2008).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  103. Iftimie, B. ; \u00a0 Pardoux, E. ; <\/span> Piatnitski, A.L. ; <\/span>
    \n Homogenization of a singular random one-dimensional PDE. <\/span>(English).
    \n AIHP, Prob & Stat. <\/em> 44<\/strong> (3), 519-543 \u00a0 (2008).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  104. Kuksin, S. ; <\/span> Piatnitski, A.L. ; <\/span>
    \n Khasminskii-Whitham averaging for randomly perturbed KdV equation <\/span> (English).
    \n JMPA <\/em> 89<\/strong> , 400-428 \u00a0 (2008).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  105. Amaziane, B. ; \u00a0 Antontsev, S. ; \u00a0 Pankratov, L. ; <\/span> Piatnitski, A.L. ; <\/span>
    \n Gamma-convergence and homogenization of functionals in Sobolev spaces with variable exponents <\/span>(English).
    \n JMAA <\/em> 342<\/strong> (2), 1192-1202 \u00a0 (2008).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  106. Chechkin, G. A.; \u00a0 <\/span> Piatnitski, A.L. ; <\/span> Shamaev, A. S. ; <\/span>
    \n Homogenization. Methods and applications.
    \n<\/em> <\/span>Translations of Mathematical Monographs, 234. <\/strong> American Mathematical Society, Providence, RI, 2007.
    \n<\/p>\n

    <\/ins><\/li>\n

  107. Yurinsky, V. V.; \u00a0 <\/span>Piatnitski, A.L. <\/span>;
    \n Near extinction of solution caused by strong absorption on a fine-grained set. <\/span>(English).
    \n Stochastic Analysis in Mathematical Physics \u00a0<\/em>, G. Ben Arous et al. (Eds.) Proceedings of a Satellite Conference of ICM 2006, p. 130-147,\u00a0 World Scientific (2007).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  108. Amaziane, B. ; \u00a0 Pankratov, L. ; <\/span> Piatnitski, A.L. ; <\/span>
    \n Homogenization of a single phase flow through a porous medium in a thin layer. <\/span>(English).
    \n M3AS <\/em> 17<\/strong> (9), 1317-1349 \u00a0 (2007).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  109. Mathieu, P. ; <\/span> Piatnitski, A.L. ; <\/span>
    \n Quenched invariance principles for random walks on percolation clusters. <\/span>(English).
    \n Proceedings of the Royal Society A. <\/em> 463<\/strong>, 2287\u20132307 \u00a0 (2007).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  110. Amaziane, B. ; \u00a0 Pankratov, L. ; <\/span> Piatnitski, A.L. ; <\/span>
    \n Homogenization of quasilinear elliptic equations in high contrast fissured media. <\/span>(English).
    \n Proceedings of the Royal Society of Edinburgh. Series A. <\/em> 136A<\/strong>, 1131-1155 \u00a0 (2006).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  111. Amaziane, B. ; \u00a0 Pankratov, L. ; <\/span> Piatnitski, A.L. ; <\/span>
    \n Homogenization of quasilinear elliptic equations with non-uniformly bounded coefficients. <\/span>(English).
    \n Nonlinearity \u00a0<\/em> 19<\/strong>, 2973-2988 \u00a0 (2006).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  112. Piatnitski, A.L. <\/span>;
    \n Homogenization of random nonstationary parabolic operators. <\/span>(English).
    \n Topics on Concentration Phenomena and Problems with Multiple Scales \u00a0<\/em>, A. Braides and V.Chiado Piat (Eds.) Lecture Notes of the Unione Matematica Italiana, \u00a0 2<\/strong>, 209-232\u00a0 (2006).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  113. Engstrom, J.; \u00a0 Persson, L.-E.; <\/span> Piatnitski, A.L.; <\/span>\u00a0 Wall, P.<\/span>
    \n Homogenization of random degenerated nonlinear monotone operators. <\/span>(English).
    \n Glasnik Matematicki \u00a0<\/em> 41<\/strong>, No.1, \u00a0 101-114\u00a0 (2006).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  114. Jikov <\/span>(=Zhikov), V.V.; <\/span> Piatnitski <\/span>(=Pyatnitskii), A.L. <\/span>
    \n Homogenization of random singular structures and random measures. <\/span>(English).
    \n Izvestiya: Mathematics \u00a0<\/em> 70<\/strong>, No.1, \u00a0 19-67\u00a0 (2006).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  115. Cioranescu, D. ; \u00a0<\/span> Piatnitski, A.<\/span>
    \n Homogenization of a porous medium with randomly pulsating microstructure. <\/span> (English).
    \n Multiscale Modeling & Simulation \u00a0<\/em> 5<\/strong>, \u00a0 No.1, 170-183\u00a0 (2006).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  116. Diop, M. ;\u00a0 Iftimie, B.;\u00a0 Pardoux, E.; <\/span> Piatnitski, A. <\/span>
    \n Singular homogenization with stationary in time and periodic in space coefficients. <\/span>(English).
    \n Journal of Functional Analysis <\/em> 231<\/strong>, \u00a0 No.1, \u00a0 1-46 \u00a0 (2006).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  117. Pardoux, E.;\u00a0 <\/span> Piatnitski, A. <\/span>
    \n Homogenization of a singular random one dimensional PDE. <\/span>(English). Damlamian, A. et al. (Eds.)
    \n Multi scale problems and asymptotic analysis. \u00a0<\/em> The proceedings of Midnight Sun Narvik Conference, Tokyo: Gakkotosho. GAKUTO Int. Ser., Math. Sci. Appl. \u00a024<\/strong>, 291-303\u00a0 (2005).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  118. Donato, P.;\u00a0 <\/span> Piatnitski, A.<\/span>
    \n Averaging of nonstationary parabolic operators with large lower order terms.<\/span>(English). Damlamian, A. et al. (Eds.)
    \n Multi scale problems and asymptotic analysis. <\/em> The proceedings of Midnight Sun Narvik Conference, Tokyo: Gakkotosho. GAKUTO Int. Ser., Math. Sci. Appl. \u00a024<\/strong>, 153-166 \u00a0 (2005).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  119. Marusic-Paloka, E.;\u00a0 <\/span> Piatnitski, A. <\/span>\u00a0 Homogenization of a nonlinear convection-diffusion equation with rapidly oscillating coefficients and strong convection. <\/span>(English).
    \n Journal of London Math. Soc. <\/em> 72<\/strong>, \u00a0 No.2, \u00a0 391-409 \u00a0 (2005).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  120. Allaire, G.;\u00a0 <\/span> Piatnitski, A. <\/span>\u00a0 Homogenization of the Schredinger Equation and Effective Mass Theorems <\/span>(English).
    \nComm. Math. Physics \u00a0<\/em>258<\/strong>, \u00a0 1-22, \u00a0(2005).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  121. Allaire, G.;\u00a0 Capdeboscq, Y.;\u00a0 <\/span> Piatnitski, A. <\/span>\u00a0Siess, V.; Vannitathan, M.<\/span>
    \n Homogenization of Periodic Systems with Large Potentials <\/span>(English).
    \nArch. Rational Mech. Anal. <\/em>174<\/strong>, \u00a0 179-220, \u00a0(2004).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  122. Braides, A.;Chiado Piat, V.<\/span>; Piatnitski, A. <\/span>
    \n A variational approach to double-porosity problems. <\/span>(English).
    \nAsymptotic Analysis \u00a0<\/em>39<\/strong>, No.3-4, \u00a0 281-308, (2004). \u00a0 \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  123. Piatnitski<\/span> (=Pyatnitskii), A.; <\/span> Shamaev, A.\u00a0<\/span>
    \n On the Asymptotic Behavior of Eigenvalues and Eigenfunctions of Non-Self-Adjoint Elliptic Operators <\/span>(English).
    \n Journal of Mathematical Sciences \u00a0<\/em>120<\/strong>, No.3, \u00a0 1411-1423, (2004). \u00a0 \u00a0    PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  124. Bourgeat, A.;\u00a0<\/span> Piatnitski, A. <\/span>
    \n Approximations of effective coefficients in stochastic homogenization <\/span>(English).
    \nAnn. Inst. H. Poincare., Prob. Statistics \u00a0<\/em>40<\/strong>, No.2, \u00a0 153-165, (2004). \u00a0 \u00a0    PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  125. Cioranescu, D.<\/span>; \u00a0Piatnitski, A. <\/span>
    \n Homogenization in perforated domains with rapidly pulsing perforations <\/span>(English).
    \n ESAIM: Control, Optimisation and Calculus of Variations \u00a0<\/em>9<\/strong>, 461-484, (2003).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  126. Bourgeat, A.;\u00a0Mikelic, A.<\/span>; \u00a0Piatnitski, A. <\/span>
    \n On the double porosity model of a single phase flow in random media <\/span>(English).
    \n Asymptotic Analysis \u00a0<\/em>34<\/strong>, No.2, 311-332, (2003). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  127. Allaire, G.;\u00a0Capdeboscq, Y.<\/span>; \u00a0Piatnitski, A.L. <\/span>
    \n Homogenization and localization with an interface <\/span>(English).
    \n Indiana Univ. Math. J. \u00a0<\/em>52<\/strong>, No.6, 1413-1446, (2003). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  128. \u00a0Piatnitski, A.L. <\/span>; Zhao, H.S.; \u00a0Zheng, W.A.<\/span>
    \n Solutions to a class of multidimensional SPDEs <\/span>(English).
    \n Int. Math. J. <\/em>3<\/strong>, No.7, 755-774, (2003).
    \n<\/p>\n

    <\/ins><\/li>\n

  129. Kuksin, S.B.; \u00a0Nadirashvili, N.S.<\/span>; \u00a0Piatnitski, A.L. <\/span>
    \n Holder Estimates for Solutions of Parabolic SPDEs. <\/span>(English).
    \n Theory of Probability and Its Applications (SIAM) <\/em>47<\/strong>, No.1, 157-163, (2003).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  130. Pankratov, L.<\/span>; \u00a0Piatnitski, A.; <\/span>\u00a0Rybalko, V.<\/span>
    \n Homogenized model of reaction-diffusion in a porous medium. <\/span>(English).
    \nComptes Rendus Mecanique (CRAS) <\/em>331<\/strong>, No.4, 253-258, (2003). \u00a0     PDF file
    \n<\/a><\/p>\n

    <\/ins><\/li>\n

  131. Bourgeat, A.; Chechkin, G. A.<\/span>; Piatnitski A. L.<\/span>
    \n Singular Double Porosity Model. <\/span>(English). Applicable Analysis,
    \n<\/em>82<\/strong>, No.2, 103-116, (2003).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  132. Pardoux, E.<\/span>; Piatnitski A. <\/span>
    \n Homogenization of a nonlinear random parabolic partial differential equation. <\/span>(English).
    \nStochastic Processes and their Applications, \u00a0 <\/em>104<\/strong>, No.1, 1-27, (2003).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  133. Bourgeat, A.; Jurak, M.<\/span>; Piatnitski A. L.<\/span>
    \n Averaging a transport equation with small diffusion and oscillating velocity. <\/span>(English).
    \n Mathematical Methods in the Applied Sciences, <\/em>26<\/strong>, No.2, 95-117, (2003).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  134. Kleptsyna, M. L.<\/span>; Piatnitski <\/span>(= Pyatnitskii), A. L.<\/span>
    \n Homogenization of Random Nonstationary Convection-Diffusion Problem. <\/span>(English).
    \nRussian Mathematical Surveys, \u00a0<\/em> 57<\/strong>, No.4, 729-751, (2002).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  135. Kuksin, S.<\/span>; Piatnitski, A. <\/span>; Shirikyan, A.<\/span>
    \n A Coupling Approach to Randomly Forced Nonlinear PDE’s. II <\/span>(English)
    \nCommun. Math. Phys. \u00a0<\/em> 230<\/strong>, No.1, 81-85, (2002).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  136. Kleptsyna, M.<\/span>; Piatnitski, A. <\/span>
    \n Homogenization of Random Nonstationary Convection-Diffusion Problem. <\/span>(English).
    \n Multiscale Problems in Science and Technology.\u00a0 Challenges to Mathematical Analysis and Perspectives. \u00a0 <\/em> N. Antonic et al. (Eds.), \u00a0 251-270, Springer, \u00a0 Berlin, New-York,\u00a0 (2002).
    \n<\/p>\n

    <\/ins><\/li>\n

  137. Campillo, F.<\/span>; Piatnitski, A. <\/span>
    \n Effective diffusion in vanishing viscosity. <\/span>(English).
    \nNonlinear Partial Differential Equations and Their Applications.\u00a0 Coll\u0425ge de France Seminar Volume XIV. \u00a0<\/em> D. Cioranescu,\u00a0 J.-L. Lions (Eds.), \u00a0 Studies in Mathematics and its Applications, 31<\/strong>, 133-145,\u00a0 Elsevier,\u00a0 North-Holland, (2002).
    \n<\/p>\n

    <\/ins><\/li>\n

  138. Chechkin, G.A.; Jikov, V.V.; Lukkassen, D.<\/span>Piatnitski, A. <\/span>
    \n On homogenization of networks and junctions. < <\/span> (English).
    \n Asymptotic Analysis \u00a0<\/em>30<\/strong>, No.1, 61-80, (2002).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  139. Allaire, G.<\/span>; Piatnitski, A. <\/span>
    \n Uniform spectral asymptotics for singularly perturbed locally periodic operators. <\/span>(English).
    \nCommunications in Partial Differential Equations \u00a0<\/em>27<\/strong>, No.3&4, 705-725,
    \n(2002).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  140. Pankratov, L.<\/span>; Piatnitski, A. <\/span>
    \n Nonlinear “double porosity” type model. <\/span>(English).
    \nComptes Rendus Mathematique (CRAS) \u00a0<\/em>334<\/strong>, No.5, 435-440, (2002). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  141. Belyaev, A.G.<\/span>; Piatnitski <\/span>(=Pyatnitskii), A.L.<\/span>; Chechkin, G.A. <\/span>
    \n Averaging in a perforated domain with an oscillating third boundary condition. <\/span>(English).
    \n Sb. Math. \u00a0<\/em>192<\/strong>, No.7, 933-949, (2001).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  142. Campillo, F.<\/span>; Kleptsyna, M. <\/span>; Piatnitski, A. <\/span>
    \n Homogenization of random parabolic operator with large potential. <\/span>(English).
    \n Stochastic Processes and their Applications <\/em>93<\/strong>, No.1, 57-85, (2001). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  143. Piatnitski, A.<\/span>; Remy, E. <\/span>
    \nHomogenization of Elliptic Difference Operators. <\/span (English).
    \n SIAM J. Math. Analysis\u00a0<\/em>33<\/strong>, No.1, 53-83, (2001).     Gzipped PS file <\/a>
    \n<\/p>\n

    <\/ins><\/span><\/li>\n

  144. Pardoux, E.<\/span>; Piatnitski, A.L. <\/span>
    \nAveraging of nonlinear random parabolic operators.<\/span> J.L. Menaldi et al. (Eds.) Optimal Control and Partial Differential Equations<\/em>. IOS Press. 268-276, (2001). \u00a0\u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  145. Piatnitski A.L.<\/span>
    \n Cental Limit Theorem and Spectral Asymptotics for one nonlinear SPDE.<\/span> V.Berdichevsky et al. (Eds.)
    \nHomogenization. <\/em>World Scientific. Singapore, New Jersey, London, Hong Kong. 407-418 (1999).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  146. Campillo, F.<\/span>; Kleptsyna, M. <\/span>; Piatnitski, A.<\/span>
    \n Homogenization of random parabolic operator with large potential.<\/span>
    \nB. Grigelionis et al. (Eds), Probability Theory and Mathematical Statistics, Proceedings of the 7th Vilnius Conference.<\/em> TEV, Vilnius, Lithuania \/ VSP, Zeist, The Netherlands (1999).
    \n<\/p>\n

    <\/ins><\/li>\n

  147. Bourgeat, A.<\/span>; Piatnitski, A. <\/span>
    \n Estimates in probability of the residual between the random and the homogenized solutions of one-dimensional second-order operator.<\/span> (English).
    \nAsymptotic Anal.\u00a0<\/em> 21<\/strong>, No.3-4, 303-315 (1999). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  148. Chechkin, G.A.<\/span>; Piatnitski, A.L. <\/span>
    \nHomogenization of boundary-value problem in a locally periodic perforated domain<\/span>. (English).
    \n Appl. Anal.\u00a0<\/em> 71<\/strong>, No.1-4, 215-235 (1999).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  149. Chechkin, G.A.<\/span>; Friedman, A. <\/span>; Piatnitski, A.L. <\/span>
    \n The boundary-value problem in domains with very rapidly oscillating boundary<\/span>. (English).
    \n J. Math. Anal. Appl.\u00a0<\/em> 231<\/strong>, No.1, 213-234 (1999). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  150. Belyaev, A.G.<\/span>; Piatnitski<\/span> (=Pyatnitskij), A.L.<\/span>; Chechkin, G.A. <\/span>
    \n Asymptotic behavior of a solution to a boundary value problem in a perforated domain with oscillating boundary<\/span>. (English. Russian
    \noriginal).
    \nSib. Math. J. \u00a0<\/em>39<\/strong>, No.4, 621-644 (1998).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  151. Bourgeat, A.<\/span>; Mikelic, A.<\/span>; Piatnitski, A. <\/span>
    \n Modele de double porosite aleatoire. (Random double porosity
    \nmodel)<\/span>. (French. Abridged English version).
    \nC. R. Acad. Sci., Paris, Ser. I, Math.\u00a0<\/em> 327<\/strong>, No.1, 99-104 (1998).\u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  152. Piatnitski, A.L. <\/span>
    \n Asymptotic behavior of the ground state of singularly perturbed elliptic equations<\/span>. (English).
    \nCommun. Math. Phys<\/em>. 197<\/strong>, No.3, 527-551 (1998). \u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  153. Kozlov, S.M.<\/span>; Piatnitski, A.L. <\/span>
    \nDegeneration of effective diffusion in the presence of periodic potential. <\/span>(English).
    \nAnn. Inst. Henri Poincare, Probab. Stat. \u00a0<\/em> 32<\/strong>, No.5, 571-587 (1997).\u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  154. Kleptsyna, M.<\/span>; Piatnitski, A. <\/span>
    \n Homogenization of random parabolic operators<\/span>. (English).
    \nCioranescu, Doina (ed.) et al., Homogenization and applications to material sciences <\/em>. Proceedings of the internationalconference, Nice, France, June 6–10, 1995. Tokyo: Gakkotosho. GAKUTO Int. Ser., Math. Sci. Appl. \u00a09<\/strong>, 241-255 (1997).\u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  155. Piatnitski, A.<\/span>
    \n Homogenization of singularly perturbed operators.<\/span> (English).
    \nCioranescu, Doina (ed.) et al., Homogenization and applications to material sciences <\/em>. Proceedings of the international conference, Nice, France, June 6–10, 1995. Tokyo: Gakkotosho. GAKUTO Int. Ser., Math. Sci. Appl. 9,<\/strong> 355-361 (1997). \u00a0    PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  156. Ovseevich, A.I.<\/span>; Piatnitski <\/span>(=Pyatnitskii), A.L.<\/span>; Shamaev, A.S.<\/span>
    \nAsymptotic behavior of solutions to a boundary value problem with small parameter<\/span>. (English).
    \n Russ. J. Math. Phys. \u00a0<\/em> 4<\/strong>, No.4, 487-498 (1996). \u00a0    PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  157. Kozlov, S.M.<\/span>; Piatnitski, A.L.<\/span>
    \n Effective diffusion for a parabolic operator with periodic potential. <\/span>(English).
    \n SIAM J. Appl. Math.\u00a0 <\/em>53, <\/strong>No.2, 401-418 (1993).\u00a0     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  158. Kozlov, S.M.<\/span>; Piatnitski<\/span> (=Pyatnitskij), A.L. <\/span>
    \n Averaging on a background of vanishing viscosity<\/span>. (English. Russian original)
    \nMath. USSR, Sb. \u00a0<\/em> 70,<\/strong> No.1, 241-261 (1991).    PDF file <\/a><\/li>\n
  159. Piatnitski<\/span> (=Pyatnitskij), A.L.; <\/span>Kozlov, S.M. <\/span>
    \n Homogenization and vanishing viscosity.<\/span> (English).
    \nProbability theory and mathematical statistics, Proc. 5th Vilnius
    \nConf.<\/em>, Vilnius\/Lith. 1989, Vol. II<\/strong>, 330-339 (1990).
    \n<\/p>\n

    <\/ins><\/li>\n

  160. Piatnitski<\/span> (=Pyatnitskij), A.L. <\/span>
    \n Averaging a singularly perturbed equation with rapidly oscillating coefficients in a layer<\/span>. (English).
    \nMath. USSR, Sb. \u00a0<\/em> 49<\/strong>, 19-40 (1984).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  161. Piatnitski<\/span> (=Pyatnitskij), A.L. <\/span>
    \n On the limit behavior of the domain of dependence of a hyperbolic equation with rapidly oscillating coefficients<\/span>. (English).
    \nMath. USSR, Sb. \u00a0<\/em> 43<\/strong>, 117-131 (1982).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  162. Piatnitski<\/span> (=Pyatnitskij), A.L. <\/span>
    \n A scattering problem in laminar media.<\/span> (English).
    \nMath. USSR, Sb. \u00a0<\/em>43<\/strong>, 427-441 (1982).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  163. Piatnitski<\/span> (=Pyatnitskij), A.L. <\/span>
    \n On the behaviour at infinity of the solution of a second-order elliptic equation given on a cylinder<\/span>. (English).
    \nRuss. Math. Surv. \u00a0<\/em>37<\/strong>, No.2, 249-250 (1982).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  164. Piatnitski <\/span>(=Pyatnitskij), A.L. <\/span>
    \n Propagation of a solution of a hyperbolic equation with rapidly oscillating coefficients.<\/span> (English)
    \nRuss. Math. Surv. \u00a0<\/em> 36<\/strong>, No.1, 250-251 (1981).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n

  165. Piatnitski<\/span> (=Pyatnitskij), A.L.<\/span>
    \n A parabolic equation with rapidly oscillating
    \ncoefficients.<\/span> (English)
    \nMosc. Univ. Math. Bull. \u00a0<\/em>35<\/strong>, No.3, 35-42 (1980).     PDF file <\/a>
    \n<\/p>\n

    <\/ins><\/li>\n<\/ol>\n

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    \npage<\/abbr><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

    Updated:\u00a0 \u00a0March, 2026 Cherdantsev, M.; \u00a0 Piatnitski, A.; \u00a0 Velcic, I. \u00a0 \u00a0\u00a0 Homogenisation and spectral convergence of high-contrast convolution type operators. (English). J. Diff. Equations; 465(4), 114247, (2026). \u00a0 PDF file Borisov, D.; \u00a0 Piatnitski, A.; \u00a0 Zhizhina, E. …<\/p>\n

    List of Publications<\/span> Read More »<\/a><\/p>\n","protected":false},"author":225,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"class_list":["post-2","page","type-page","status-publish","hentry"],"featured_image_src":"","featured_image_src_square":false,"rbea_author_info":{"display_name":"Andrey Piatnitski","author_link":"https:\/\/blogg.uit.no\/api009\/author\/andrei-piatnitski\/"},"rbea_excerpt_info":"Updated:\u00a0 \u00a0March, 2026 Cherdantsev, M.; \u00a0 Piatnitski, A.; \u00a0 Velcic, I. \u00a0 \u00a0\u00a0 Homogenisation and spectral convergence of high-contrast convolution type operators. (English). J. Diff. Equations; 465(4), 114247, (2026). \u00a0 PDF file Borisov, D.; \u00a0 Piatnitski, A.; \u00a0 Zhizhina, E. …

    List of Publications<\/span> Read More »<\/a><\/p>","_links":{"self":[{"href":"https:\/\/blogg.uit.no\/api009\/wp-json\/wp\/v2\/pages\/2","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogg.uit.no\/api009\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogg.uit.no\/api009\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogg.uit.no\/api009\/wp-json\/wp\/v2\/users\/225"}],"replies":[{"embeddable":true,"href":"https:\/\/blogg.uit.no\/api009\/wp-json\/wp\/v2\/comments?post=2"}],"version-history":[{"count":262,"href":"https:\/\/blogg.uit.no\/api009\/wp-json\/wp\/v2\/pages\/2\/revisions"}],"predecessor-version":[{"id":781,"href":"https:\/\/blogg.uit.no\/api009\/wp-json\/wp\/v2\/pages\/2\/revisions\/781"}],"wp:attachment":[{"href":"https:\/\/blogg.uit.no\/api009\/wp-json\/wp\/v2\/media?parent=2"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}