English

Spectral estimates for Dirichlet Laplacian on spiral-shaped regions

Spectral Theory 2022-06-29 v1 Analysis of PDEs

Abstract

We derive spectral estimates of the Lieb-Thirring type for eigenvalues of Dirichlet Laplacians on strictly shrinking spiral-shaped domains.

Keywords

Cite

@article{arxiv.2206.14058,
  title  = {Spectral estimates for Dirichlet Laplacian on spiral-shaped regions},
  author = {Diana Barseghyan and Pavel Exner},
  journal= {arXiv preprint arXiv:2206.14058},
  year   = {2022}
}