An inverse Signorini obstacle problem
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913757319397376 |
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| author | de Hoop, Maarten V. Lassas, Matti Lu, Jinpeng Oksanen, Lauri Zhao, Ziyao |
| author_facet | de Hoop, Maarten V. Lassas, Matti Lu, Jinpeng Oksanen, Lauri Zhao, Ziyao |
| contents | We study the inverse problem of determining a Signorini obstacle from boundary measurements for the isotropic elasticity system. We prove that the obstacle can be uniquely determined by a single measurement of displacement and normal stress for the Signorini problem on an open subset of the boundary up to a natural obstruction. In addition to considering the Signorini problem, we develop techniques that can be used to study inverse problems for general differential inequalities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_19610 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An inverse Signorini obstacle problem de Hoop, Maarten V. Lassas, Matti Lu, Jinpeng Oksanen, Lauri Zhao, Ziyao Analysis of PDEs 35R30, 74M15 We study the inverse problem of determining a Signorini obstacle from boundary measurements for the isotropic elasticity system. We prove that the obstacle can be uniquely determined by a single measurement of displacement and normal stress for the Signorini problem on an open subset of the boundary up to a natural obstruction. In addition to considering the Signorini problem, we develop techniques that can be used to study inverse problems for general differential inequalities. |
| title | An inverse Signorini obstacle problem |
| topic | Analysis of PDEs 35R30, 74M15 |
| url | https://arxiv.org/abs/2503.19610 |