English

Transmission eigenvalues for strictly concave domains

Analysis of PDEs 2015-01-06 v1 Mathematical Physics math.MP

Abstract

We prove that for strictly concave domains much larger transmission eigenvalue-free regions exist. As a consequence, we get Weyl asymptotics for the total counting function with an almost optimal remainder term.

Keywords

Cite

@article{arxiv.1501.00797,
  title  = {Transmission eigenvalues for strictly concave domains},
  author = {Georgi Vodev},
  journal= {arXiv preprint arXiv:1501.00797},
  year   = {2015}
}

Comments

30 pages

R2 v1 2026-06-22T07:50:51.087Z