Homogenization of Boundary Value Problems in Perforated Lipschitz Domains
Analysis of PDEs
2021-05-28 v1
Abstract
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 boundary data in a periodically perforated Lipschitz domain.
Keywords
Cite
@article{arxiv.2105.13234,
title = {Homogenization of Boundary Value Problems in Perforated Lipschitz Domains},
author = {Zhongwei Shen},
journal= {arXiv preprint arXiv:2105.13234},
year = {2021}
}
Comments
44 pages