Multidimensionnel Borg-Levinson uniqueness and stability results for the Robin Laplacian with unbounded potential
Analysis of PDEs
2024-01-30 v3
Abstract
This article deals with the uniqueness and stability issues in the inverse problem of determining the unbounded potential of the Schr\"odinger operator in a bounded domain of dimension 3 or greater, endowed with Robin boundary condition, from knowledge of its boundary spectral data. These data are defined by the pairs formed by the eigenvalues and either full or partial Dirichlet measurement of the eigenfunctions on the boundary of the domain.
Keywords
Cite
@article{arxiv.2210.15921,
title = {Multidimensionnel Borg-Levinson uniqueness and stability results for the Robin Laplacian with unbounded potential},
author = {Mourad Choulli and Abdelmalek Metidji and Éric Soccorsi},
journal= {arXiv preprint arXiv:2210.15921},
year = {2024}
}