English

Stability of determining a Dirichlet-Laplace-Beltrami operator from its boundary spectral data

Analysis of PDEs 2023-12-01 v1 Spectral Theory

Abstract

We establish stability inequalities for the problem of determining a Dirichlet-Laplace-Beltrami operator from its boundary spectral data. We study the case of complete spectral data as well as the case of partial spectral data.

Keywords

Cite

@article{arxiv.2311.18642,
  title  = {Stability of determining a Dirichlet-Laplace-Beltrami operator from its boundary spectral data},
  author = {Mourad Choulli and Masahiro Yamamoto},
  journal= {arXiv preprint arXiv:2311.18642},
  year   = {2023}
}