Low regularity for the nonlinear Klein-Gordon systems

被引：1
|
作者：
Yuan, Jia [1 ]
Zhang, Junyong [1 ]
机构：
[1] China Acad Engn Phys, Grad Sch, Beijing 100088, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 02期
关键词：
Low regularity; Klein-Gordon equations system; Bony's decomposition; Well-posedness; EQUATION;
D O I：
10.1016/j.na.2008.01.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the global well-posedness below the energy norm of the Cauchy problem for the Klein-Gordon system in R-3. We prove the H-s-global well-posedness with s < 1 of the Cauchy problem for the Klein-Gordon system. The method invoked is different from the well-known Bourgain's method [Jean Bourgain, Refinements of Strichartz's inequality and applications to 2D-NLS with critical nonlinearity, International Mathematial Research Notices 5 (1998) 253-283]. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：982 / 998
页数：17
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