arXiv subjects

Anderson M. Hernandez

Publications and source records attributed to Anderson M. Hernandez.

2 recordsLinked to original sources

arXiv2021

Coarsen entropy inequalities and its applications in quantitative stochastic homogenization

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.

math.PR↗

arXiv2021

Weighted Meyers estimates in perforated domains

The present work aims to provide Meyers estimates throughout a finer inner regularity theory in perforated domains. We also provide a hypercontractivity property on correctors whenever the perforations are controlled with a uniformly bounded random variable and the underlying probability space admits a weaker form of ergodicity which we called coarsened logarithmic Sobolev inequality.

math.AP↗