An inverse problem for inhomogeneous Signorini obstacle
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910222320140288 |
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| author | Zhao, Ziyao |
| author_facet | Zhao, Ziyao |
| contents | This paper investigates the inverse problem of determining a general Signorini obstacle using boundary measurements. We demonstrate that both the shape of the obstacle and the obstacle function can be uniquely determined from solution measurements taken on an arbitrary open subset of the boundary. This result applies to both the scalar and elasticity versions of the Signorini problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_15091 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An inverse problem for inhomogeneous Signorini obstacle Zhao, Ziyao Analysis of PDEs 35R30, 74M15 This paper investigates the inverse problem of determining a general Signorini obstacle using boundary measurements. We demonstrate that both the shape of the obstacle and the obstacle function can be uniquely determined from solution measurements taken on an arbitrary open subset of the boundary. This result applies to both the scalar and elasticity versions of the Signorini problem. |
| title | An inverse problem for inhomogeneous Signorini obstacle |
| topic | Analysis of PDEs 35R30, 74M15 |
| url | https://arxiv.org/abs/2605.15091 |