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math.AP2024
Convergence rates of eigenvalue problems in perforated domains: the case of small volume
Zhongwei Shen, Jinping Zhuge
This paper is concerned with the Dirichlet eigenvalue problem for Laplace operator in a bounded domain with periodic perforation in the case of small volume. We obtain the optimal…
math.AP2024
Dirichlet Problems in Perforated Domains
Robert Righi, Zhongwei Shen
In this paper we establish estimates for solutions to Laplace's equation with the Dirichlet condition in a bounded and perforated, not necessarily periodi…