Two-scale convergence of elliptic spectral problems with indefinite density function in perforated domains

Details Two-scale convergence of elliptic spectral problems with indefinite density function in perforated domains Two-scale convergence of elliptic spectral problems with indefinite density function in perforated domains

2011-06-20

arxiv.org/abs/1106.3907v1

Mathematics

Analysis of PDEs

21 pages

Scientific paper

Spectral asymptotics of linear periodic elliptic operators with indefinite (sign-changing) density function is investigated in perforated domains with the two-scale convergence method. The limiting behavior of positive and negative eigencouples depends crucially on whether the average of the weight over the solid part is positive, negative or equal to zero. We prove concise homogenization results in all three cases.

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