The interior transmission problem and bounds on transmission eigenvalues
classification
🧮 math-ph
math.MP
keywords
transmissioneigenvaluesinteriorproblemaxisboundedboundscomplex
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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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