Translating solutions and the entire Hessian curvature flow in Minkowski space
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914947374514176 |
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| author | Changzheng, Qu Zhizhang, Wang Weifeng, Wo |
| author_facet | Changzheng, Qu Zhizhang, Wang Weifeng, Wo |
| contents | In this paper, we study the $k$-Hessian curvature flow of noncompact spacelike hypersurfaces in Minkowski space. We first prove the existence of translating solutions with given asymptotic behavior. Then, we prove that for strictly convex initial hypersurface satisfying certain conditions, the curvature flow exists for all time, and the normalized flow converges to a translating solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_07301 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Translating solutions and the entire Hessian curvature flow in Minkowski space Changzheng, Qu Zhizhang, Wang Weifeng, Wo Analysis of PDEs In this paper, we study the $k$-Hessian curvature flow of noncompact spacelike hypersurfaces in Minkowski space. We first prove the existence of translating solutions with given asymptotic behavior. Then, we prove that for strictly convex initial hypersurface satisfying certain conditions, the curvature flow exists for all time, and the normalized flow converges to a translating solution. |
| title | Translating solutions and the entire Hessian curvature flow in Minkowski space |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2409.07301 |