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Two-Scale Convergence of Stekloff Eigenvalue Problems in Perforated Domains
Boundary Value Problems volume 2010, Article number: 853717 (2010)
Abstract
By means of 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 of eigenfunctions. It is also justified that the natural local problem is not an eigenvalue problem.
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Douanla, H. Two-Scale Convergence of Stekloff Eigenvalue Problems in Perforated Domains. Bound Value Probl 2010, 853717 (2010). https://doi.org/10.1155/2010/853717
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DOI: https://doi.org/10.1155/2010/853717