English

Transmission eigenvalue-free regions near the real axis in the anisotropic case

Analysis of PDEs 2024-03-06 v3

Abstract

We consider the anisotropic interior transmission problem with one complex-valued refraction index. Under the condition that all geodesics reach the boundary in a finite time, we obtain large regions near the real axis free of transmission eigenvalues.

Keywords

Cite

@article{arxiv.2310.14678,
  title  = {Transmission eigenvalue-free regions near the real axis in the anisotropic case},
  author = {Georgi Vodev},
  journal= {arXiv preprint arXiv:2310.14678},
  year   = {2024}
}