Two-Scale Convergence of Stekloff Eigenvalue Problems in Perforated Domains. (30th November 2010)

• Record Type: Journal Article
• Authors: Douanla Douanla, Hermann Hermann
• Other Names: Lieberman Lieberman Gary Gary Academic Editor.
• Is Part Of: Boundary value problems. Volume 2010(2010)
• Publication Date: 2010-11-30
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2010/853717
• Languages: English
• ISSNs: 1687-2762

Abstract

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.