Stochastic homogenization of linear elliptic equations: higher-order error estimates in weak norms via second-order correctors

We are concerned with the homogenization of second-order linear elliptic equations with random coefficient fields. For symmetric coefficient fields with only short-range correlations, quantified through a logarithmic Sobolev inequality for the ensemble, we prove that when measured in weak spatial no...

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Bibliographic Details
Main Authors: Bella, P, Fehrman, B, Fischer, J, Otto, F
Format: Journal article
Published: Society for Industrial and Applied Mathematics 2017