EXTEND MEAN CURVATURE FLOW WITH FINITE INTEGRAL CURVATURE

被引：1

作者：

Xu, Hong-Wei ^{[1
]}

Ye, Fei ^{[1
]}

Zhao, En-Tao ^{[1
]}

机构：

[1] Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Zhejiang, Peoples R China

来源：

ASIAN JOURNAL OF MATHEMATICS | 2011年 / 15卷 / 04期

基金：

中国博士后科学基金;

关键词：

Mean curvature flow; maximal existence time; second fundamental form; integral curvature; CONVEX SURFACES; SUBMANIFOLDS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we prove that the solution of certain mean curvature flow on a finite time interval [0, T) can be extended over time T if the space-time integration of the mean curvature is finite. Moreover, we show that the condition is optimal in some sense.

引用

页码：549 / 556

页数：8

共 14 条

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