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Homogenization of Boundary Value Problems in Perforated Lipschitz Domains (2105.13234v1)

Published 27 May 2021 in math.AP

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 $L2$ boundary data in a periodically perforated Lipschitz domain.

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