AN Lp REGULARITY THEORY FOR HARMONIC MAPS

被引：2

作者：

Moser, Roger ^{[1
]}

机构：

[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 367卷 / 01期

关键词：

YANG-MILLS FIELDS; WEAK HEAT FLOWS; CONSERVATION-LAWS; BIHARMONIC MAPS; UNIQUENESS; EVOLUTION; SURFACE; SPACES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Motivated by the harmonic map heat flow, we consider maps between Riemannian manifolds such that the tension field belongs to an L-p-space. Under an appropriate smallness condition, a certain degree of regularity follows. For suitable solutions of the harmonic map heat flow, we have a partial regularity result as a consequence.

引用

页码：1 / 30

页数：30

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