Moment bounds on the corrector of stochastic homogenization of non-symmetric elliptic finite difference equations

DOI10.1080/03605302.2017.1281298zbMath1377.35015arXiv1407.6984OpenAlexW2104534139MaRDI QIDQ2986681

Daniel Marahrens, Jonathan Ben-Artzi, Stefan Neukamm

Publication date: 16 May 2017

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

Full work available at URL: https://arxiv.org/abs/1407.6984

zbMATH Keywords

random coefficientsoptimal boundscorrector equationquantitative two-scale expansion

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Discrete version of topics in analysis (39A12) PDEs with randomness, stochastic partial differential equations (35R60) Difference operators (39A70) Finite difference methods for boundary value problems involving PDEs (65N06) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (7)

Corrector Estimates for Elliptic Systems with Random Periodic Coefficients ⋮ An Introduction to the Qualitative and Quantitative Theory of Homogenization ⋮ Stochastic Unfolding and Homogenization of Spring Network Models ⋮ Lipschitz regularity for elliptic equations with random coefficients ⋮ Berry-Esseen theorem and quantitative homogenization for the random conductance model with degenerate conductances ⋮ A regularity theory for random elliptic operators ⋮ Quantitative estimates in stochastic homogenization for correlated coefficient fields

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