Liouville Principles and a Large-Scale Regularity Theory for Random Elliptic Operators on the Half-Space

DOI10.1137/16M1070384zbMath1356.60108arXiv1604.02717OpenAlexW2963944947MaRDI QIDQ2956664

Claudia Raithel, Julian Fischer

Publication date: 19 January 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02717

zbMATH Keywords

stochastic homogenizationboundary regularityrandom elliptic operatorLiouville principles

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Random operators and equations (aspects of stochastic analysis) (60H25) PDEs with randomness, stochastic partial differential equations (35R60) Random linear operators (47B80) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

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