Two-scale convergence of elliptic spectral problems with indefinite density function in perforated domains
Journal article, 2013

Spectral asymptotics of linear periodic elliptic operatorswith 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.

Homogenization

indefinite weight function

perforated domains

two-scale convergence.

eigenvalue problems

Author

Hermann Douanla Yonta

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Asymptotic Analysis

0921-7134 (ISSN)

Vol. 81 3-4 251-272

Subject Categories

Mathematical Analysis

DOI

10.3233/ASY-2012-1127

More information

Created

10/8/2017