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.
|Number of pages||57|
|Journal||Journal of Differential Equations|
|State||Published - Dec 15 2023|
Bibliographical noteFunding Information:
Supported in part by NSF grant DMS-1856235.
© 2023 Elsevier Inc.
- Boundary estimate
- Perforated domain
ASJC Scopus subject areas
- Applied Mathematics