论文标题
加权Meyers估计穿孔域中
Weighted Meyers estimates in perforated domains
论文作者
论文摘要
目前的工作旨在为穿孔域中更精细的内部规律性理论提供迈耶斯的估计。每当用均匀界限的随机变量控制穿孔时，我们还可以在校正器上提供超扣除率，而潜在的概率空间则承认了一种较弱的牙齿形式，我们称之为coarsed的对数sobolev不平等。
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.
