Two-Scale Convergence of Stekloff Eigenvalue Problems in Perforated Domains

Two-Scale Convergence of Stekloff Eigenvalue Problems in Perforated Domains

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Abstract faber-castell tamitio rollerball pen 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 revlon colorstay lip liner plum that the natural local problem is not an eigenvalue problem.