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
收藏
页码：1741 / 1748
页数：8
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