Stability analysis of inverse problems for coupled magnetic Schrödinger equations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929522696257536 |
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| author | Hamrouni, Mohamed Khenissi, Moez Soccorsi, Éric |
| author_facet | Hamrouni, Mohamed Khenissi, Moez Soccorsi, Éric |
| contents | 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 Schrödinger 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 Hölder stably retrieved by $(3d+2)$-times suitably changing the initial condition attached at the system. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_00715 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability analysis of inverse problems for coupled magnetic Schrödinger equations Hamrouni, Mohamed Khenissi, Moez Soccorsi, Éric Analysis of PDEs 35R30 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 Schrödinger 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 Hölder stably retrieved by $(3d+2)$-times suitably changing the initial condition attached at the system. |
| title | Stability analysis of inverse problems for coupled magnetic Schrödinger equations |
| topic | Analysis of PDEs 35R30 |
| url | https://arxiv.org/abs/2410.00715 |