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arXiv · 2009.12866

Stability estimates for the magnetic Schr\"odinger operator with partial measurements

L. Potenciano-Machado·A. Ruiz·L. Tzou
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Abstract

In this article, we study stability estimates when recovering magnetic fields and electric potentials in a simply connected open subset in $R^n$ with $n \geq 3$, from measurements on open subsets of its boundary. This inverse problem is associated with a magnetic Schr\"odinger operator. Our estimates are quantitative versions of the uniqueness results obtained by D. Dos Santos Ferreira, C. E. Kenig, J. Sj\"ostrand and G. Uhlmann in [13]. The moduli of continuity are of logarithmic type.

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L. Potenciano-Machado, A. Ruiz, L. Tzou. 2020-09-27. Stability estimates for the magnetic Schr\"odinger operator with partial measurements. https://arxiv.org/abs/2009.12866

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