Transmission Eigenvalues for Non-regular Cases

Valery Serov

doi:cma/1356039037

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Home > Journals > Commun. Math. Anal. > Volume 14 > Issue 2 > Article

2013 Transmission Eigenvalues for Non-regular Cases

Valery Serov

Commun. Math. Anal. 14(2): 129-142 (2013).

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Abstract

We prove the existence of transmission eigenvalues in the case when the perturbation of the index of refraction may have singularity or degeneration on the boundary of its support. This singularity or degeneration is measured in terms of the distance to the boundary.