Two-scale convergence of elliptic spectral problems with indefinite density function in perforated domains
Analysis of PDEs
2012-08-23 v2 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.1106.3907,
title = {Two-scale convergence of elliptic spectral problems with indefinite density function in perforated domains},
author = {Hermann Yonta Douanla},
journal= {arXiv preprint arXiv:1106.3907},
year = {2012}
}
Comments
21 pages. arXiv admin note: substantial text overlap with arXiv:1106.3904