Stochastic Homogenization for Some Nonlinear Integro-Differential Equations

DOI10.1080/03605302.2012.741176zbMath1262.49032arXiv1101.6052OpenAlexW2018823188MaRDI QIDQ4916385

Russell W. Schwab

Publication date: 22 April 2013

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.6052

zbMATH Keywords

Lévy processeshomogenizationjump processesobstacle problemoptimal stochastic controlnonlocal elliptic equations

Mathematics Subject Classification ID

Related Items (14)

Homogenization theory: periodic and beyond. Abstracts from the workshop held March 14--20, 2021 (online meeting) ⋮ Homogenization of periodic diffusion with small jumps ⋮ Regularity for a special case of two-phase Hele-Shaw flow via parabolic integro-differential equations ⋮ Markov chain approximations for nonsymmetric processes ⋮ Min-max formulas for nonlocal elliptic operators on Euclidean space ⋮ Periodic homogenization of a Lévy-type process with small jumps ⋮ Gamma convergence and asymptotic behavior for eigenvalues of nonlocal problems ⋮ \(H\)-convergence and homogenization of non-local elliptic operators in both perforated and non-perforated domains ⋮ Cauchy problem and periodic homogenization for nonlocal Hamilton–Jacobi equations with coercive gradient terms ⋮ Homogenization of Lévy-type Operators with Oscillating Coefficients ⋮ Periodic homogenization of nonsymmetric Lévy-type processes ⋮ Homogenization of Symmetric Stable-like Processes in Stationary Ergodic Media ⋮ Min-max formulas for nonlocal elliptic operators ⋮ $H$-Convergence Result for Nonlocal Elliptic-Type Problems via Tartar's Method

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