Homogenization of boundary value problems in perforated Lipschitz domains

被引：0

作者：

Shen, Zhongwei ^{[1
]}

机构：

[1] Univ Kentucky, Dept Math, Lexington, KY 40506 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 376卷

关键词：

Homogenization; Perforated domain; Boundary estimate; EQUATIONS; SYSTEMS;

D O I：

10.1016/j.jde.2023.09.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with boundary regularity estimates in the homogenization of elliptic equations with rapidly oscillating and high-contrast coefficients. We establish uniform nontangential-maximal function estimates for the Dirichlet, regularity, and Neumann problems with L2 boundary data in a periodically perforated Lipschitz domain.(c) 2023 Elsevier Inc. All rights reserved.

引用

页码：283 / 339

页数：57

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