ON THE HEAT FLOW EQUATION OF SURFACES OF CONSTANT MEAN CURVATURE IN HIGHER DIMENSIONS

被引：0

作者：

Tan Zhong ^{[1
]}

Wu Guochun ^{[1
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2011年 / 31卷 / 05期

关键词：

heat equation; mean curvature; higher dimensions; MINIMAL-SURFACES; H-SYSTEMS; PLATEAU; EXISTENCE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the heat flow for the H-system with constant mean curvature in higher dimensions. We give sufficient conditions on the initial data such that the heat flow develops finite time singularity. We also provide a new set of initial data to guarantee the existence of global regular solution to the heat flow, that converges to zero in W-1,W-n with the decay rate t(2/2-n) as time goes to infinity.

引用

页码：1741 / 1748

页数：8

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