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SIAMMA
2010

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The Existence of an Infinite Discrete Set of Transmission Eigenvalues

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The Existence of an Infinite Discrete Set of Transmission Eigenvalues

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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. Key words. Interior transmission problem, transmission eigenvalues, inhomogeneous medium, inverse scattering. AMS subject classifications. 35R30, 35Q60, 35J40, 78A25.

Fioralba Cakoni, Drossos Gintides, Houssem Haddar

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Added	21 May 2011
Updated	21 May 2011
Type	Journal
Year	2010
Where	SIAMMA
Authors	Fioralba Cakoni, Drossos Gintides, Houssem Haddar

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