Two-Scale Convergence of Stekloff Eigenvalue Problems in Perforated Domains
Artikel i vetenskaplig tidskrift, 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.
Stekloff eigenvalue problems