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  • Research Article
  • Open Access

Two-Scale Convergence of Stekloff Eigenvalue Problems in Perforated Domains

Boundary Value Problems20102010:853717

https://doi.org/10.1155/2010/853717

  • Received: 31 July 2010
  • Accepted: 11 November 2010
  • Published:

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.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Asymptotic Behavior
  • Functional Equation

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Authors’ Affiliations

(1)
Department of Mathematical Sciences, Chalmers University of Technology, 41296 Gothenburg, Sweden

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