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Multidimensionnel Borg-Levinson uniqueness and stability results for the Robin Laplacian with unbounded potential
- 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.
- Subjects :
- Mathematics - Analysis of PDEs
35R30, 35J30
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2210.15921
- Document Type :
- Working Paper