Global existence of smooth solutions for wave maps in de Sitter spacetime

被引：0
|
作者：
Lou, Qiong [1 ]
机构：
[1] Zhejiang Univ Sci & Technol, Sch Sci, Hangzhou 310023, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 487卷 / 01期
关键词：
De Sitter space-time; Wave map equations; Geodesic; BLOW-UP; HARMONIC MAPS; SINGULARITIES;
D O I：
10.1016/j.jmaa.2020.123966
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the problem of a harmonic map from de Sitter spacetime into a geodesic on an n-dimensional complete Riemannian manifold. We show that the global smooth solution exists for such wave map when the solution is a small perturbation along the geodesic solution by the method of weighted energy estimates. (C) 2020 Elsevier Inc. All rights reserved.
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页数：13
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