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

Ha Pham (1, 2, 3) , Plamen Stefanov (3)

1 MAGIQUE-3D - Magique 3D. Modélisation Avancée en GéophysIQUE 3D
2 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
3 Department of mathematics Purdue University

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.

Domaines: Equations aux dérivées partielles [math.AP]

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