Quantitative Borg-Levinson theorem for the magnetic Schödinger operator with unbounded electrical potential
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911392178634752 |
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| author | Choulli, Mourad Takase, Hiroshi |
| author_facet | Choulli, Mourad Takase, Hiroshi |
| contents | The first author established in [8] a quantitative Borg-Levinson theorem for the Schrödinger operator with unbounded potential. In the present work, we extend the results in [8] to the magnetic Schrödinger operator. We discuss both the isotropic and anisotropic cases. We establish Hölder stability inequalities of determining the electrical potential or magnetic field from the corresponding boundary spectral data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15847 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantitative Borg-Levinson theorem for the magnetic Schödinger operator with unbounded electrical potential Choulli, Mourad Takase, Hiroshi Analysis of PDEs 35R30, 35R01, 35P99, 35J10, 35J15 The first author established in [8] a quantitative Borg-Levinson theorem for the Schrödinger operator with unbounded potential. In the present work, we extend the results in [8] to the magnetic Schrödinger operator. We discuss both the isotropic and anisotropic cases. We establish Hölder stability inequalities of determining the electrical potential or magnetic field from the corresponding boundary spectral data. |
| title | Quantitative Borg-Levinson theorem for the magnetic Schödinger operator with unbounded electrical potential |
| topic | Analysis of PDEs 35R30, 35R01, 35P99, 35J10, 35J15 |
| url | https://arxiv.org/abs/2601.15847 |