A simple proof of a multidimensional Borg-Levinson type theorem
Analysis of PDEs
2021-07-20 v3
Abstract
We provide a simple and short proof of a multidimensional Borg-Levinson type theorem. Precisely, we prove that the spectral boundary data determine uniquely the corresponding potential appearing in the Sch\"odinger operator on an admissible Riemannian manifold. We also sketch the proof of the case of incomplete spectral boundary data.
Keywords
Cite
@article{arxiv.1912.03055,
title = {A simple proof of a multidimensional Borg-Levinson type theorem},
author = {Mourad Choulli},
journal= {arXiv preprint arXiv:1912.03055},
year = {2021}
}