Coarsen entropy inequalities and its applications in quantitative stochastic homogenization

Abstract

In this work, we study the validity of Entropy inequalities under decorrelation assumptions at large-scales, and also we study the problem of Weighted Meyers estimate in perforated domains. As a consequence, we obtain the hypercontractivity of correctors with Neumann boundary conditions.

This file present a misleading in the main result about LSI

References in corpus (2)

• Quantitative stochastic homogenization and large-scale regularity
• Quantitative stochastic homogenization and regularity theory of parabolic equations