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SIAMMA
2010
62views more  SIAMMA 2010»
12 years 11 months ago
Transmission Eigenvalues for Operators with Constant Coefficients
In this paper we study the interior transmission problem and transmission eigenvalues for multiplicative perturbations of linear partial differential operator of order 2 with cons...
Michael Hitrik, Katsiaryna Krupchyk, Petri Ola, La...
SIAMMA
2010
81views more  SIAMMA 2010»
12 years 11 months ago
The Interior Transmission Eigenvalue Problem
We consider the inverse problem of determining the spherically symmetric index of refraction n(r) from a knowledge of the corresponding transmission eigenvalues (which can be deter...
Fioralba Cakoni, David Colton, Drossos Gintides
SIAMMA
2010
62views more  SIAMMA 2010»
12 years 11 months ago
The Interior Transmission Problem for Regions with Cavities
We consider the interior transmission problem in the case when the inhomogeneous medium has cavities, i.e. regions in which the index of refraction is the same as the host medium. ...
Fioralba Cakoni, David Colton, Houssem Haddar
SIAMMA
2010
55views more  SIAMMA 2010»
12 years 11 months ago
The Existence of an Infinite Discrete Set of Transmission Eigenvalues
Abstract. We prove the existence of an infinite discrete set of transmission eigenvalues corresponding to the scattering problem for isotropic and anisotropic inhomogeneous media f...
Fioralba Cakoni, Drossos Gintides, Houssem Haddar