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Spectral properties of exterior transmission problem for spherically stratified anisotropic media

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ABSTRACT The exterior transmission eigenvalue problem for anisotropic media with spherical symmetry assumptions is considered. First, we discuss the existence and the asymptotic distribution of exterior transmission eigenvalues. Then, we… Click to show full abstract

ABSTRACT The exterior transmission eigenvalue problem for anisotropic media with spherical symmetry assumptions is considered. First, we discuss the existence and the asymptotic distribution of exterior transmission eigenvalues. Then, we investigate the inverse problem of determining the index of refraction from a knowledge of two sets of spectral data under appropriate conditions.

Keywords: spectral properties; transmission; anisotropic media; properties exterior; exterior transmission; problem

Journal Title: Applicable Analysis
Year Published: 2019

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