Regularity and stochastic homogenization of fully nonlinear equations without uniform ellipticity

DOI10.1214/13-AOP833zbMath1315.35019arXiv1208.4570MaRDI QIDQ471154

Scott N. Armstrong, Charles K. Smart

Publication date: 14 November 2014

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.4570

zbMATH Keywords

degenerate elliptic equationsstochastic homogenizationquenched invariance principlefully nonlinear equationsmoment conditiondiffusion processes in random mediaeffective ellipticity

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45) Processes in random environments (60K37) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Viscosity solutions to PDEs (35D40)

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