English

A quantitative Borg-Levinson theorem for a large class of unbounded potentials

Analysis of PDEs 2025-10-14 v3

Abstract

We prove a quantitative Borg-Levinson theorem for a large class of unbounded potentials. We give a detailed proof when the dimension of the space is greater than or equal to five. We also indicate the modifications necessary to cover lower dimensions. In the last section, we briefly show how to extend our result to the anisotropic case.

Keywords

Cite

@article{arxiv.2410.01346,
  title  = {A quantitative Borg-Levinson theorem for a large class of unbounded potentials},
  author = {Mourad Choulli},
  journal= {arXiv preprint arXiv:2410.01346},
  year   = {2025}
}
R2 v1 2026-06-28T19:04:52.594Z