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arXiv · 2410.00715

Stability analysis of inverse problems for coupled magnetic Schr\"odinger equations

Mohamed Hamrouni·Moez Khenissi·Éric Soccorsi
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Abstract

We consider the inverse coefficient problem of simultaneously determining the space dependent electromagnetic potential, the zero-th order coupling term and the first order coupling vector of a two-state Schr\"odinger equation in a bounded domain of $\mathbb{R}^d$, $d \ge 2$, from finitely many partial boundary measurements of the solution. We prove that these $3d+3$ unknown scalar coefficients can be H\"older stably retrieved by $(3d+2)$-times suitably changing the initial condition attached at the system.

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Mohamed Hamrouni, Moez Khenissi, Éric Soccorsi. 2024-10-01. Stability analysis of inverse problems for coupled magnetic Schr\"odinger equations. https://arxiv.org/abs/2410.00715

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