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arXiv · 2007.08839

Coarsen entropy inequalities and its applications in quantitative stochastic homogenization

Anderson M. Hernandez
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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.

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Anderson M. Hernandez. 2020-07-17. Coarsen entropy inequalities and its applications in quantitative stochastic homogenization. https://arxiv.org/abs/2007.08839

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