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arXiv · 2411.15792

An inverse obstacle problem for the magnetic Schr\"odinger equation

Mourad Choulli·Hiroshi Takase
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Abstract

We establish stability inequalities of an inverse obstacle problem for the magnetic Schr\"odinger equation. We mainly study the problem of reconstructing an unknown function defined on the obstacle boundary from two measurements performed on the boundary of a domain surrounding the obstacle. We show for the inverse problem a Lipschitzian stability locally in time and a logarithmic stability globally in time.

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Mourad Choulli, Hiroshi Takase. 2024-11-24. An inverse obstacle problem for the magnetic Schr\"odinger equation. https://arxiv.org/abs/2411.15792

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