On the heat flow of equation of surfaces of constant mean curvatures

被引：5

作者：

Huang, Tao ^{[1
,2
]}

Tan, Zhong ^{[1
]}

Wang, Changyou ^{[2
]}

机构：

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

[2] Univ Kentucky, Dept Math, Lexington, KY 40506 USA

来源：

MANUSCRIPTA MATHEMATICA | 2011年 / 134卷 / 1-2期

基金：

美国国家科学基金会; 中国国家自然科学基金;

关键词：

H-SYSTEMS; HARMONIC-MAPPINGS; EXISTENCE; EVOLUTION; MAPS;

D O I：

10.1007/s00229-010-0404-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the initial and boundary value problem of heat flow of equation of surfaces of constant mean curvatures. 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 solutions to the heat flow that converges to zero in H (1) exponentially as time goes to infinity.

引用

页码：259 / 271

页数：13

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