On the anisotropic Calderón's problem
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_ | 1866916384357744640 |
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| author | Uhlmann, Gunther Zhai, Jian |
| author_facet | Uhlmann, Gunther Zhai, Jian |
| contents | We prove that the Riemannian metric on a compact manifold of dimension $n\geq 3$ with smooth boundary can be uniquely determined, up to an isometry fixing the boundary, by the Dirichlet-to-Neumann map associated to the Laplace-Beltrami operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_01583 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the anisotropic Calderón's problem Uhlmann, Gunther Zhai, Jian Analysis of PDEs Differential Geometry We prove that the Riemannian metric on a compact manifold of dimension $n\geq 3$ with smooth boundary can be uniquely determined, up to an isometry fixing the boundary, by the Dirichlet-to-Neumann map associated to the Laplace-Beltrami operator. |
| title | On the anisotropic Calderón's problem |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2409.01583 |