Quantitative homogenization of elliptic partial differential equations with random oscillatory boundary data

DOI10.1016/j.matpur.2014.10.001zbMath1418.35025arXiv1408.0254OpenAlexW2041130340MaRDI QIDQ1756297

Panagiotis E. Souganidis, William M. Feldman, Inwon Christina Kim

Publication date: 14 January 2019

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

Full work available at URL: https://arxiv.org/abs/1408.0254

zbMATH Keywords

boundary layersconcentration inequalitiesrate of convergence in probabilityDirichlet and Neumann boundary value problems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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Continuity and discontinuity of the boundary layer tail, Neumann Homogenization via Integro-Differential Operators. Part 2: Singular Gradient Dependence, Homogenization and boundary layers in domains of finite type, Regularity of homogenized boundary data in periodic homogenization of elliptic systems

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