Discreteness of Transmission Eigenvalues for Higher-Order Main Terms and Perturbations
Spectral Theory
2015-12-18 v1 Analysis of PDEs
Abstract
In this paper we extend Sylvester's approach via upper triangular compact operators to establish the discreteness of transmission eigenvalues for higher-order main terms and higher-order perturbations. The coefficients of the perturbations must be sufficiently smooth and the coefficients of the higher-order terms of the perturbation must vanish in a neighbourhood of the boundary of the underlying domain. The zeroeth order term must satisfy a suitable coercivity condition in a neighbourhood of the boundary.
Keywords
Cite
@article{arxiv.1512.05580,
title = {Discreteness of Transmission Eigenvalues for Higher-Order Main Terms and Perturbations},
author = {Andoni García and Esa V. Vesalainen and Miren Zubeldia},
journal= {arXiv preprint arXiv:1512.05580},
year = {2015}
}
Comments
19 pages