Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/15202
Title: Sharp weyl law for signed counting function of positive interior transmission eigenvalues
Author: Lakshtanov, E.
Vainberg, B.
Keywords: Interior transmission eigenvalues
Anisotropic media
Shapiro-Lopatinski condition
Issue Date: 2015
Publisher: Society for Industrial and Applied Mathematics
Abstract: We consider the interior transmission eigenvalue (ITE) problem that arises when scattering by inhomogeneous media is studied. The ITE problem is not self-adjoint. We show that positive ITEs are observable together with plus or minus signs that are defined by the direction of motion of the corresponding eigenvalues of the scattering matrix (as they approach $z=1$). We obtain a Weyl-type formula for the counting function of positive ITEs, which are taken together with the ascribed signs. The results are applicable to the case when the medium contains an unpenetrable obstacle.
Peer review: yes
URI: http://hdl.handle.net/10773/15202
DOI: 10.1137/140966277
ISSN: 0036-1410
Appears in Collections:CIDMA - Artigos
OGTCG - Artigos

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