Two-Scale Convergence of Stekloff Eigenvalue Problems in Perforated Domains
Journal article, 2010

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.

Homogenization

perforated domains.

Stekloff eigenvalue problems

Author

Hermann Douanla Yonta

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Boundary Value Problems

1687-2762 (ISSN) 1687-2770 (eISSN)

Vol. 2010 15- 853717

Roots

Basic sciences

Subject Categories

Mathematical Analysis

DOI

10.1155/2010/853717

More information

Created

10/8/2017