GLOBAL EXISTENCE OF SMOOTH SOLUTIONS TO EXPONENTIAL WAVE MAPS IN FLRW SPACETIMES

被引：7

作者：

Wei, Chang-Hua ^{[1
]}

Lai, Ning-An ^{[2
]}

机构：

[1] Zhejiang Sci Tech Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China

[2] Lishui Univ, Sci Coll, Dept Math, Lishui 323000, Peoples R China

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2017年 / 289卷 / 02期

关键词：

exponential wave map; FLRW; weighted energy estimate; FUNDAMENTAL-SOLUTIONS; SITTER SPACETIME; EQUATION; REGULARITY;

D O I：

10.2140/pjm.2017.289.489

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Cauchy problem of exponential wave maps in Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetimes. Using a weighted energy estimate, we show that the smooth solution of the Cauchy problem for exponential wave maps in FLRW spacetimes exists globally for small initial data.

引用

页码：489 / 509

页数：21

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