Mathematical Research Letters
Volume 18 (2011)
The interior transmission problem and bounds on transmission eigenvalues
Pages: 279 – 293
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.
Published 20 May 2011