Weighted Meyers estimates in perforated domains

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Publication:6345704

arXiv2007.12003MaRDI QIDQ6345704

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Publication date: 22 July 2020

Abstract: 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.












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