Quantitative Borg-Levinson theorem for the magnetic Schödinger operator with unbounded electrical potential

Abstract

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.