Sublinear growth of the corrector in stochastic homogenization: optimal stochastic estimates for slowly decaying correlations

DOI10.1007/s40072-016-0086-xzbMath1387.35029arXiv1508.00025OpenAlexW2962757923WikidataQ59528886 ScholiaQ59528886MaRDI QIDQ2014310

Felix Otto, Julian Fischer

Publication date: 11 August 2017

Published in: Stochastic and Partial Differential Equations. Analysis and Computations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00025

zbMATH Keywords

homogenization correctoroptimal stochastic momentsweak decorrelation

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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A Liouville theorem for elliptic systems with degenerate ergodic coefficients ⋮ Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields ⋮ Liouville Principles and a Large-Scale Regularity Theory for Random Elliptic Operators on the Half-Space ⋮ Large-scale regularity in stochastic homogenization with divergence-free drift ⋮ Green's function for elliptic systems: moment bounds ⋮ Effective multipoles in random media ⋮ A Liouville theorem for stationary and ergodic ensembles of parabolic systems ⋮ Berry-Esseen theorem and quantitative homogenization for the random conductance model with degenerate conductances ⋮ Optimal artificial boundary condition for random elliptic media ⋮ A regularity theory for random elliptic operators ⋮ Quantitative estimates in stochastic homogenization for correlated coefficient fields

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