Multidimensionnel Borg-Levinson uniqueness and stability results for the Robin Laplacian with unbounded potential
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866917576362164224 |
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| author | Choulli, Mourad Metidji, Abdelmalek Soccorsi, Éric |
| author_facet | Choulli, Mourad Metidji, Abdelmalek Soccorsi, Éric |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_15921 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Multidimensionnel Borg-Levinson uniqueness and stability results for the Robin Laplacian with unbounded potential Choulli, Mourad Metidji, Abdelmalek Soccorsi, Éric Analysis of PDEs 35R30, 35J30 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. |
| title | Multidimensionnel Borg-Levinson uniqueness and stability results for the Robin Laplacian with unbounded potential |
| topic | Analysis of PDEs 35R30, 35J30 |
| url | https://arxiv.org/abs/2210.15921 |