1106.3907 (Hermann Yonta Douanla)

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

Hermann Yonta Douanla

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.

View original: http://arxiv.org/abs/1106.3907