Anisotropic Calderón Problem for a Non-Local Second Order Elliptic Operator
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916765322182656 |
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| author | Pramanik, Susovan |
| author_facet | Pramanik, Susovan |
| contents | This paper investigates the anisotropic Calderón problem for a non-local elliptic operator of order 2, on closed Riemannian manifolds. We demonstrate that using the Cauchy data set, we can recover the geometry of a closed Riemannian manifold up to standard gauge. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_12255 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Anisotropic Calderón Problem for a Non-Local Second Order Elliptic Operator Pramanik, Susovan Analysis of PDEs 35S05, 58J35, 58J40 This paper investigates the anisotropic Calderón problem for a non-local elliptic operator of order 2, on closed Riemannian manifolds. We demonstrate that using the Cauchy data set, we can recover the geometry of a closed Riemannian manifold up to standard gauge. |
| title | Anisotropic Calderón Problem for a Non-Local Second Order Elliptic Operator |
| topic | Analysis of PDEs 35S05, 58J35, 58J40 |
| url | https://arxiv.org/abs/2505.12255 |