有孔区域上的加权Meyers估计
Weighted Meyers estimates in perforated domains
摘要：
本工作的目的是提供迈耶斯估计在整个一个更精细的内部规则性理论穿孔域。我们还提供了一个hyperconstitutivity性质的校正时，穿孔控制的一个一致有界的随机变量和潜在的概率空间承认一个较弱形式的遍历性，我们称之为粗对数Sobolev不等式。
英文摘要：
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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