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arXiv · 2601.15847

Quantitative Borg-Levinson theorem for the magnetic Sch\"odinger operator with unbounded electrical potential

Mourad Choulli·Hiroshi Takase
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Abstract

The first author established in [8] a quantitative Borg-Levinson theorem for the Schr\"odinger operator with unbounded potential. In the present work, we extend the results in [8] to the magnetic Schr\"odinger operator. We discuss both the isotropic and anisotropic cases. We establish H\"older stability inequalities of determining the electrical potential or magnetic field from the corresponding boundary spectral data.

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Mourad Choulli, Hiroshi Takase. 2026-01-22. Quantitative Borg-Levinson theorem for the magnetic Sch\"odinger operator with unbounded electrical potential. https://arxiv.org/abs/2601.15847

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