Quantitative Borg-Levinson theorem for the magnetic Sch\"odinger operator with unbounded electrical potential
Analysis of PDEs
2026-01-23 v1
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.
Cite
@article{arxiv.2601.15847,
title = {Quantitative Borg-Levinson theorem for the magnetic Sch\"odinger operator with unbounded electrical potential},
author = {Mourad Choulli and Hiroshi Takase},
journal= {arXiv preprint arXiv:2601.15847},
year = {2026}
}