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

2022/10/28 by Mourad Choulli, Choulli, Mourad, Abdelmalek Metidji +3
Computer Science · Mathematics · #35J30 #35R30 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2210.15921

openalex publication_date 2022/10/28 · openalex created_date 2022/11/05 · openalex updated_date 2026/07/28

Abstract

This article deals with the uniqueness and stability issues in the inverse problem of determining the unbounded potential of the Schrödinger 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.

Related

• Determination of the Schrödinger-Robin operator by incomplete or asymptotic spectral boundary data
• Multidimensional Borg--Levinson theorems for unbounded potentials
• Application of the boundary control method to partial data Borg-Levinson inverse spectral problem
• Inverse problems for Schrödinger equations with unbounded potentials
• A simple proof of a multidimensional Borg-Levinson type theorem