Well-posedness of mean curvature flow
Fuente:
arXiv
Guardado en:
| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911541054406656 |
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| author | Han, Yongheng |
| author_facet | Han, Yongheng |
| contents | In this paper, using heat kernel estimates and contraction mapping principle, we give a new proof of the existence and uniqueness of mean curvature flow starting from hypersurface with bounded second fundamental form. Moreover, we show the continuous dependence of mean curvature flow on initial data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_22809 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Well-posedness of mean curvature flow Han, Yongheng Differential Geometry 53E10 In this paper, using heat kernel estimates and contraction mapping principle, we give a new proof of the existence and uniqueness of mean curvature flow starting from hypersurface with bounded second fundamental form. Moreover, we show the continuous dependence of mean curvature flow on initial data. |
| title | Well-posedness of mean curvature flow |
| topic | Differential Geometry 53E10 |
| url | https://arxiv.org/abs/2603.22809 |