An inverse obstacle problem for the magnetic Schrödinger equation
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866910712535711744 |
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| author | Choulli, Mourad Takase, Hiroshi |
| author_facet | Choulli, Mourad Takase, Hiroshi |
| contents | We establish stability inequalities of an inverse obstacle problem for the magnetic Schrödinger 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15792 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An inverse obstacle problem for the magnetic Schrödinger equation Choulli, Mourad Takase, Hiroshi Analysis of PDEs We establish stability inequalities of an inverse obstacle problem for the magnetic Schrödinger 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. |
| title | An inverse obstacle problem for the magnetic Schrödinger equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2411.15792 |