An Uniqueness Result on Spherically Stratified Media in Constant Absorbing Background with Interior Transmission Eigenvalues
Analysis of PDEs
2013-07-02 v3
Abstract
Given a set of transmission eigenvalues, its density function inversely determines the form of the indicator function. This is one application of the Cartwright's theory in inverse problems. We use the indicator function inversely to determine the form of the functional determinant d(z). Such an asymptotic expansion is uniquely determined while considered in constant absorbing medium.
Keywords
Cite
@article{arxiv.1203.1419,
title = {An Uniqueness Result on Spherically Stratified Media in Constant Absorbing Background with Interior Transmission Eigenvalues},
author = {Lung-Hui Chen},
journal= {arXiv preprint arXiv:1203.1419},
year = {2013}
}
Comments
This paper has been withdrawn by the author. This paper is only a special case to the another coming paper