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Transmission Eigenvalues for Non-regular Cases

Commun. Math. Anal.
Volume 14, Number 2 (2013), 129 - 142

Transmission Eigenvalues for Non-regular Cases

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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.