Weighted Meyers estimates in perforated domains

Autor:	Hernandez, Anderson M.
Rok vydání:	2020
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	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. Comment: I had a misleading
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2007.12003 Zobrazit plný text záznamu View this record from Arxiv