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Multidimensionnel Borg-Levinson uniqueness and stability results for the Robin Laplacian with unbounded potential

Authors :
Choulli, Mourad
Metidji, Abdelmalek
Soccorsi, Éric
Publication Year :
2022

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.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2210.15921
Document Type :
Working Paper