Two-Scale Convergence of Stekloff Eigenvalue Problems in Perforated Domains

Two-Scale Convergence of Stekloff Eigenvalue Problems in Perforated Domains

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Abstract By means of Skirts the two-scale convergence method, we investigate the asymptotic behavior of eigenvalues and eigenfunctions of Stekloff eigenvalue problems in perforated domains.We prove a concise and precise homogenization result including convergence of gradients of eigenfunctions which improves the understanding of the asymptotic behavior Headphones of eigenfunctions.It is also justified that the natural local problem is not an eigenvalue problem.