论文标题
Coarsen熵不平等及其在定量随机均质化中的应用
Coarsen entropy inequalities and its applications in quantitative stochastic homogenization
论文作者
论文摘要
在这项工作中，我们研究了大规模去相关假设下的熵不平等的有效性，并且还研究了穿孔域中加权Meyers估计的问题。结果，我们获得了校正者在诺伊曼边界条件下的超收缩率。
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.
