The interior transmission problem and bounds on transmission eigenvalues

2010/09/28 by Michael Hitrik, Hitrik, Michael, Katsiaryna Krupchyk +5
Mathematics · Physics and Astronomy · #35P15 #35P20 #35P30 #35S15 #47J10 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:35P15 #msc:35P20 #msc:35P30 #msc:35S15 #msc:47J10

paper · pdf · doi:10.48550/arxiv.1009.5640

arxiv created 2010/09/28 · arxiv updated 2010/09/29

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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