Random Homogenization in a Domain with Light Concentrated Masses

Gregory A. Chechkin and Tatiana P. Chechkina
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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
Tatiana P. Chechkina: Department of Mathematics, National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409 Moscow, Russia

Mathematics, 2020, vol. 8, issue 5, 1-18

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.

Keywords: boundary homogenization; random medium; elliptic equation; small parameter (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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