English

On the spectral asymptotics in domains with long boundary

Spectral Theory 2024-01-24 v1

Abstract

I discuss a simple toy problem for the Dirichlet Laplacian in a sequence of domains where the contribution of the boundary to the spectral asymptotics is of the same order as the contribution from the interior

Keywords

Cite

@article{arxiv.2401.12948,
  title  = {On the spectral asymptotics in domains with long boundary},
  author = {Leonid Friedlander},
  journal= {arXiv preprint arXiv:2401.12948},
  year   = {2024}
}