Heat flow of harmonic maps from noncompact manifolds

被引：0

作者：

WANG Meng1 LIU Xiao-feng21 Dept.of Math.

机构：

来源：

Applied Mathematics:A Journal of Chinese Universities(Series B) | 2008年 / 04期

基金：

中国国家自然科学基金;

关键词：

heat flow; noncompact complete manifold; harmonic map;

D O I：

暂无

中图分类号：

O186.1 [微分几何];

学科分类号：

0701 ; 070101 ;

摘要：

The global existence of the heat flow for harmonic maps from noncompact manifolds is considered.When Lm norm of the gradient of initial data is small,the existence of a global solution is proved.

引用

页码：431 / 436

页数：6

共 4 条

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[2] THE HEAT-EQUATION AND HARMONIC MAPS OF COMPLETE MANIFOLDS
LI, P
TAM, LF
[J]. INVENTIONES MATHEMATICAE, 1991, 105 (01) : 1 - 46
[3] Blow-up and global existence for heat flows of harmonic maps[J] . Yunmei Chen,Wei-Yue Ding.Inventiones Mathematicae . 1990 (1)
[4] A GLOBAL EXISTENCE RESULT FOR THE HEAT-FLOW OF HARMONIC MAPS
SOYEUR, A
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1990, 15 (02) : 237 - 244

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