An Uniqueness Result on Spherically Stratified Media with Interior Transmission Eigenvalues

Details An Uniqueness Result on Spherically Stratified Media with Interior Transmission Eigenvalues An Uniqueness Result on Spherically Stratified Media with Interior Transmission Eigenvalues

2012-03-07

arxiv.org/abs/1203.1417v2

Mathematics

Analysis of PDEs

Scientific paper

Given a set of transmission eigenvalues, we describe the connection of such a set to the indicator functions in entire function theory. The indicator functions control the asymptotic growth rate of the solution of the Sturm-Liouville problem which has an uniqueness in the inverse spectral theory. Henceforth, the set of transmission eigenvalues has an inverse spectral property.

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