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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.14634 |
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| _version_ | 1866910752697221120 |
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| author | Ji, Jie Niu, Jingru |
| author_facet | Ji, Jie Niu, Jingru |
| contents | In this paper, we study singular heat flows from a 3-dimensional complete bounded Riemannian manifold without boundary into the hyperbolic space with prescribe singularity along a closed curve. We prove the existence and regularity of the singular heat flows. Furthermore, we prove that the singular heat flows converge to a singular harmonic map at an exponential rate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_14634 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Heat Flows with Prescribed Singularities from 3-dimensional Manifold Ji, Jie Niu, Jingru Analysis of PDEs 35A21, 58J35(Primary)58E20, 80A19(Secondary) In this paper, we study singular heat flows from a 3-dimensional complete bounded Riemannian manifold without boundary into the hyperbolic space with prescribe singularity along a closed curve. We prove the existence and regularity of the singular heat flows. Furthermore, we prove that the singular heat flows converge to a singular harmonic map at an exponential rate. |
| title | Heat Flows with Prescribed Singularities from 3-dimensional Manifold |
| topic | Analysis of PDEs 35A21, 58J35(Primary)58E20, 80A19(Secondary) |
| url | https://arxiv.org/abs/2412.14634 |