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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.09405 |
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| _version_ | 1866916361269149696 |
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| author | Tan, Xiaoming |
| author_facet | Tan, Xiaoming |
| contents | For a compact connected Riemannian manifold of dimension $n$ with smooth boundary, $n\geqslant 2$, we prove that the Cauchy data (or the Dirichlet-to-Neumann map) for the Stokes equations uniquely determines the partial derivatives of all orders of the metric on the boundary of the manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09405 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Boundary determination of the Riemannian metric from Cauchy data for the Stokes equations Tan, Xiaoming Analysis of PDEs Differential Geometry For a compact connected Riemannian manifold of dimension $n$ with smooth boundary, $n\geqslant 2$, we prove that the Cauchy data (or the Dirichlet-to-Neumann map) for the Stokes equations uniquely determines the partial derivatives of all orders of the metric on the boundary of the manifold. |
| title | Boundary determination of the Riemannian metric from Cauchy data for the Stokes equations |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2408.09405 |