Singularity Profile in the Mean Curvature Flow
| dc.creator | Sheng, Weimin | |
| dc.creator | Wang, Xu-Jia | |
| dc.date | 2009-02-13 | |
| dc.date | 2009-03-20 | |
| dc.date.accessioned | 2026-07-07T12:54:12Z | |
| dc.date.available | 2026-07-07T12:54:12Z | |
| dc.description | In this paper we study the geometry of first time singularities of the mean curvature flow. By the curvature pinching estimate of Huisken and Sinestrari, we prove that a mean curvature flow of hypersurfaces in the Euclidean space $\R^{n+1}$ with positive mean curvature is $κ$-noncollapsing, and a blow-up sequence converges locally smoothly along a subsequence to a smooth, convex blow-up solution. As a consequence we obtain a local Harnack inequality for the mean convex flow. | |
| dc.identifier | https://arxiv.org/abs/0902.2261 | |
| dc.identifier | http://arxiv.org/abs/0902.2261 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223848 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 53C44; 35K55 | |
| dc.title | Singularity Profile in the Mean Curvature Flow | |
| dc.type | text |