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

页码：982 / 998

页数：17

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