The interior transmission problem and bounds on transmission eigenvalues

Published 28 Sep 2010 in math-ph and math.MP | (1009.5640v1)

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.

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