A local uniqueness theorem for the fractional Schrödinger equation on closed Riemannian manifolds
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909303384834048 |
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| author | Lin, Yi-Hsuan |
| author_facet | Lin, Yi-Hsuan |
| contents | We investigate that a potential $V$ in the fractional Schrödinger equation $( (-Δ_g )^s +V ) u=f$ can be recovered locally by using the local source-to-solution map on smooth connected closed Riemannian manifolds. To achieve this goal, we derive a related new Runge approximation property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_01921 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A local uniqueness theorem for the fractional Schrödinger equation on closed Riemannian manifolds Lin, Yi-Hsuan Analysis of PDEs We investigate that a potential $V$ in the fractional Schrödinger equation $( (-Δ_g )^s +V ) u=f$ can be recovered locally by using the local source-to-solution map on smooth connected closed Riemannian manifolds. To achieve this goal, we derive a related new Runge approximation property. |
| title | A local uniqueness theorem for the fractional Schrödinger equation on closed Riemannian manifolds |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2409.01921 |