The interior transmission problem and bounds on transmission eigenvalues
Mathematical Physics
2010-09-29 v1 math.MP
Abstract
We study the interior transmission eigenvalue problem for sign-definite multiplicative perturbations of the Laplacian in a bounded domain. We show that all but finitely many complex transmission eigenvalues are confined to a parabolic neighborhood of the positive real axis.
Cite
@article{arxiv.1009.5640,
title = {The interior transmission problem and bounds on transmission eigenvalues},
author = {Michael Hitrik and Katsiaryna Krupchyk and Petri Ola and Lassi Päivärinta},
journal= {arXiv preprint arXiv:1009.5640},
year = {2010}
}