Unique continuation estimates on manifolds with Ricci curvature bounded below
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914670828322816 |
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| author | Rose, Christian Tautenhahn, Martin |
| author_facet | Rose, Christian Tautenhahn, Martin |
| contents | We prove quantitative unique continuation estimates for relatively dense sets and spectral subspaces associated to small energies of Schrödinger operators on Riemannian manifolds with Ricci curvature bounded below. The upper bound for the energy range and the constant appearing in the estimate are given in terms of the lower bound of the Ricci curvature and the parameters of the relatively dense set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_06916 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Unique continuation estimates on manifolds with Ricci curvature bounded below Rose, Christian Tautenhahn, Martin Analysis of PDEs Mathematical Physics Differential Geometry Functional Analysis Spectral Theory We prove quantitative unique continuation estimates for relatively dense sets and spectral subspaces associated to small energies of Schrödinger operators on Riemannian manifolds with Ricci curvature bounded below. The upper bound for the energy range and the constant appearing in the estimate are given in terms of the lower bound of the Ricci curvature and the parameters of the relatively dense set. |
| title | Unique continuation estimates on manifolds with Ricci curvature bounded below |
| topic | Analysis of PDEs Mathematical Physics Differential Geometry Functional Analysis Spectral Theory |
| url | https://arxiv.org/abs/2305.06916 |