Quantitative stochastic homogenization of convex integral functionals

Scott N. Armstrong; Charles K. Smart

doi:10.24033/asens.2287

Quantitative stochastic homogenization of convex integral functionals

Scott N. Armstrong, Charles K. Smart

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We present quantitative results for the homogenization of uniformly convex integral functionals with random coefficients under independence assumptions. The main result is an error estimate for the Dirichlet problem which is algebraic (but sub-optimal) in the size of the error, but optimal in stochastic integrability. As an application, we obtain quenched C^0,1 estimates for local minimizers of such energy functionals.

Original language	English (US)
Pages (from-to)	423-481
Number of pages	59
Journal	Annales Scientifiques de l'Ecole Normale Superieure
Volume	49
Issue number	2
DOIs	https://doi.org/10.24033/asens.2287
State	Published - 2016

ASJC Scopus subject areas

General Mathematics

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10.24033/asens.2287

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Quantitative stochastic homogenization of convex integral functionals

Abstract

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