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

2024/10/02 by Mourad Choulli, Choulli, Mourad · 2 citations
Mathematics · Physics and Astronomy · #35R30 #Analysis of PDEs (math.AP) #FOS: Mathematics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2410.01346

openalex publication_date 2024/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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.

Cited by

• Inverse spectral problems for higher-order coefficients
• Determination of the Schrödinger-Robin operator by incomplete or asymptotic spectral boundary data

Related

• Multidimensional Borg--Levinson theorems for unbounded potentials
• A simple proof of a multidimensional Borg-Levinson type theorem
• Fractional Borg-Levinson Problem with small non-negative potential of small growth
• Inverse problems for Schrödinger equations with unbounded potentials
• Stability for the multi-dimensional Borg-Levinson theorem with partial spectral data