Stochastic homogenization of convolution type operators

DOI10.1016/j.matpur.2019.12.001zbMath1433.35006arXiv1806.00995OpenAlexW2992693152MaRDI QIDQ2286492

Andrey L. Piatnitski, Elena A. Zhizhina

Publication date: 22 January 2020

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.00995

zbMATH Keywords

convolution type operatorsstochastic homogenizationconstant deterministic coefficientslimit second order elliptic differential operatorsymmetry and uniform ellipticity conditions

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Linear symmetric and selfadjoint operators (unbounded) (47B25) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (7)

Homogenization theory: periodic and beyond. Abstracts from the workshop held March 14--20, 2021 (online meeting) ⋮ Homogenization of non-local nonlinear p-Laplacian equation with variable index and periodic structure ⋮ Homogenization of nonlinear nonlocal diffusion equation with periodic and stationary structure ⋮ On operator estimates in homogenization of nonlocal operators of convolution type ⋮ Homogenization of random convolution energies ⋮ Periodic homogenization of nonsymmetric Lévy-type processes ⋮ Homogenization of Symmetric Stable-like Processes in Stationary Ergodic Media

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