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Weyl asymptotics of the transmission eigenvalues for a constant index of refraction

Ha Pham 1, 2, 3 Plamen Stefanov 3
1 MAGIQUE-3D - Advanced 3D Numerical Modeling in Geophysics
INRIA Futurs, UPPA - Université de Pau et des Pays de l'Adour, CNRS - Centre National de la Recherche Scientifique
2 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau], Inria Bordeaux - Sud-Ouest
Abstract : We prove Weyl-type asymptotic formulas for the real and the complex internal transmission eigenvalues when the domain is a ball and the index of refraction is constant.
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https://hal.archives-ouvertes.fr/hal-01711122
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Submitted on : Friday, February 16, 2018 - 6:23:10 PM
Last modification on : Thursday, March 5, 2020 - 7:23:50 PM

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Ha Pham, Plamen Stefanov. Weyl asymptotics of the transmission eigenvalues for a constant index of refraction. Inverse Problems and Imaging , AIMS American Institute of Mathematical Sciences, 2014, 8 (3), pp.795 - 810. ⟨10.3934/ipi.2014.8.795⟩. ⟨hal-01711122⟩

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