English

Parabolic transmission eigenvalue-free regions in the degenerate isotropic case

Analysis of PDEs 2017-02-14 v2 Mathematical Physics math.MP

Abstract

We study the location of the transmission eigenvalues in the isotropic case when the restrictions of the refraction indices on the boundary coincide. Under some natural conditions we show that there exist parabolic transmission eigenvalue-free regions.

Keywords

Cite

@article{arxiv.1702.00675,
  title  = {Parabolic transmission eigenvalue-free regions in the degenerate isotropic case},
  author = {Georgi Vodev},
  journal= {arXiv preprint arXiv:1702.00675},
  year   = {2017}
}