The interior transmission problem and bounds on transmission eigenvalues

Details The interior transmission problem and bounds on transmission eigenvalues The interior transmission problem and bounds on transmission eigenvalues

2010-09-28

arxiv.org/abs/1009.5640v1

Physics

Mathematical Physics

Scientific paper

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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