THE EXISTENCE OF AN INFINITE DISCRETE SET OF TRANSMISSION EIGENVALUES

Cakoni, F; Gintides, D; Haddar, H

dc.contributor.author	Cakoni, F	en
dc.contributor.author	Gintides, D	en
dc.contributor.author	Haddar, H	en
dc.date.accessioned	2014-03-01T01:34:45Z
dc.date.available	2014-03-01T01:34:45Z
dc.date.issued	2010	en
dc.identifier.issn	0036-1410	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20835
dc.subject	interior transmission problem	en
dc.subject	transmission eigenvalues	en
dc.subject	inhomogeneous medium	en
dc.subject	inverse scattering	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	FAR-FIELD DATA	en
dc.subject.other	INHOMOGENEOUS-MEDIUM	en
dc.subject.other	MAXWELLS EQUATIONS	en
dc.subject.other	INVERSE SCATTERING	en
dc.subject.other	ANISOTROPIC MEDIA	en
dc.subject.other	ACOUSTIC-WAVES	en
dc.subject.other	REFRACTION	en
dc.subject.other	INDEX	en
dc.title	THE EXISTENCE OF AN INFINITE DISCRETE SET OF TRANSMISSION EIGENVALUES	en
heal.type	journalArticle	en
heal.identifier.primary	10.1137/090769338	en
heal.identifier.secondary	http://dx.doi.org/10.1137/090769338	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	We prove the existence of an infinite discrete set of transmission eigenvalues corresponding to the scattering problem for isotropic and anisotropic inhomogeneous media for both the Helmholtz and Maxwell's equations. Our discussion includes the case of the interior transmission problem for an inhomogeneous medium with cavities, i.e., subregions with contrast zero.	en
heal.publisher	SIAM PUBLICATIONS	en
heal.journalName	SIAM JOURNAL ON MATHEMATICAL ANALYSIS	en
dc.identifier.doi	10.1137/090769338	en
dc.identifier.isi	ISI:000277835700010	en
dc.identifier.volume	42	en
dc.identifier.issue	1	en
dc.identifier.spage	237	en
dc.identifier.epage	255	en