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arXiv · 1805.10076

Carleman estimate for the Schr\"odinger equation and application to magnetic inverse problems

Xinchi Huang·Yavar Kian·Eric Soccorsi·Masahiro Yamamoto
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Abstract

We prove that the stationary magnetic potential vector and the electrostatic potential entering the dynamic magnetic Schr\"odinger equation can be Lipschitz stably retrieved through finitely many local boundary measurements of the solution. The proof is by means of a specific global Carleman estimate for the Schr\"odinger equation, established in the first part of the paper.

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Xinchi Huang, Yavar Kian, Eric Soccorsi, Masahiro Yamamoto. 2018-05-25. Carleman estimate for the Schr\"odinger equation and application to magnetic inverse problems. https://arxiv.org/abs/1805.10076

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