Well-posedness for the Heat Flow of Biharmonic Maps with Rough Initial Data

被引：12

作者：

Wang, Changyou ^{[1
]}

机构：

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

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2012年 / 22卷 / 01期

基金：

美国国家科学基金会;

关键词：

Biharmonic map; BMO space; Well-posedness; REGULARITY;

D O I：

10.1007/s12220-010-9195-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper establishes the local (or global, resp.) well-posedness of the heat flow of biharmonic maps from a"e (n) to a compact Riemannian manifold without boundary for initial data with small local BMO (or BMO, resp.) norms.

引用

页码：223 / 243

页数：21

共 21 条

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