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Random Homogenization in a Domain with Light Concentrated Masses

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  • Gregory A. Chechkin

    (Department of Differential Equations, Faculty of Mechanics and Mathematics, M.V. Lomonosov Moscow State University, Leninskie Gory, 1, 119991 Moscow, Russia
    Institute of Mathematics with Computing Center, Subdivision of the Ufa Federal Research Center of Russian Academy of Science, Chernyshevskogo st., 112, 450008 Ufa, Russia
    These authors contributed equally to this work.)

  • Tatiana P. Chechkina

    (Department of Mathematics, National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409 Moscow, Russia
    These authors contributed equally to this work.)

Abstract

In the paper, we consider an elliptic problem in a domain with singular stochastic perturbation of the density located near the boundary, depending on a small parameter. Using the boundary homogenization methods, we prove the compactness theorem and study the behavior of eigenelements to the initial problem as the small parameter tends to zero.

Suggested Citation

  • Gregory A. Chechkin & Tatiana P. Chechkina, 2020. "Random Homogenization in a Domain with Light Concentrated Masses," Mathematics, MDPI, vol. 8(5), pages 1-18, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:788-:d:357506
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