Asymptotic behavior for the principal eigenvalue of a reinforcement problem
Spectral Theory
2018-01-30 v1
Abstract
In this paper, we consider the asymptotic behavior for the principal eigenvalue of an elliptic operator with piecewise constant coefficients. This problem was first studied by Friedman in 1980. We show how the geometric shape of the interface affects the asymptotic behavior for the principal eigenvalue. This is a refinement of the result by Friedman.
Keywords
Cite
@article{arxiv.1801.09134,
title = {Asymptotic behavior for the principal eigenvalue of a reinforcement problem},
author = {Toshiaki Yachimura},
journal= {arXiv preprint arXiv:1801.09134},
year = {2018}
}
Comments
13 pages, 1 figure