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Homogenization of Boundary Value Problems in Perforated Lipschitz Domains

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 نشر من قبل Zhongwei Shen
 تاريخ النشر 2021
  مجال البحث
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 تأليف Zhongwei Shen




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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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