Homogenization of Boundary Value Problems in Perforated Lipschitz Domains

Zhongwei Shen

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arXiv · 2105.13234

Homogenization of Boundary Value Problems in Perforated Lipschitz Domains

Zhongwei Shen

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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 $L^2$ boundary data in a periodically perforated Lipschitz domain.

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Zhongwei Shen. 2021-05-27. Homogenization of Boundary Value Problems in Perforated Lipschitz Domains. https://arxiv.org/abs/2105.13234

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