An Uniqueness Result on Spherically Stratified Media with Interior Transmission Eigenvalues
Analysis of PDEs
2012-04-26 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1203.1417,
title = {An Uniqueness Result on Spherically Stratified Media with Interior Transmission Eigenvalues},
author = {Lung-Hui Chen},
journal= {arXiv preprint arXiv:1203.1417},
year = {2012}
}