On regularizing-rate estimates for solutions to the heat flow with initial value problem

被引：0

作者：

WANG Meng ^{[1
]}

LIU XiaoFeng ^{[2
]}

机构：

[1] Department of Mathematics, Zhejiang University

[2] Department of Applied Mathematics, School of Sciences, Donghua University

来源：

ScienceChina(Mathematics) | 2013年 / 56卷 / 03期

基金：

中国国家自然科学基金;

关键词：

heat flow; regularity; gradient; mild solution; analyticity;

D O I：

暂无

中图分类号：

O186.12 [黎曼几何];

学科分类号：

070104 ;

摘要：

For a compact Riemannian manifold NRK without boundary, we establish the existence of strong solutions to the heat flow for harmonic maps from Rn to N, and the regularizing rate estimate of the strong solutions. Moreover, we obtain the analyticity in spatial variables of the solutions. The uniqueness of the mild solutions in C([0,T]; W1,n) is also considered in this paper.

引用

页码：653 / 664

页数：12

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