Global solution for coupled nonlinear Klein-Gordon system  

作　　者：甘在会 张健 

机构地区：[1]College of Mathematics and Software Science,Sichuan Normal University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第5期677-687,共11页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No.10271084);the Natural Science Foundation for Young Scholars of Sichuan Province of China (No.07JQ0094)

摘　　要：The global solution for a coupled nonlinear Klein-Gordon system in two- dimensional space was studied. First, a sharp threshold of blowup and global existence for the system was obtained by constructing a type of cross-constrained variational problem and establishing so-called cross-invariant manifolds of the evolution flow. Then the result of how small the initial data for which the solution exists globally was proved by using the scaling argument.The global solution for a coupled nonlinear Klein-Gordon system in two- dimensional space was studied. First, a sharp threshold of blowup and global existence for the system was obtained by constructing a type of cross-constrained variational problem and establishing so-called cross-invariant manifolds of the evolution flow. Then the result of how small the initial data for which the solution exists globally was proved by using the scaling argument.

关 键 词：couple nonlinear Klein-Gordon system global solution BLOWUP cross- constrained variational problem sharp threshold 

分 类 号：O193[理学—数学]