节点文献

Sharp Threshold of Global Existence for the Klein-Gordon Equations with Critical Nonlinearity

推荐 CAJ下载
PDF下载
不支持迅雷等下载工具，请取消加速工具后下载。

【Author】 Zai-hui Gan~(1,2),Bo-ling Guo~2,Jian Zhang~1 1 College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610068,China 2 Institute of Applied Physics and Computational Mathematics,PO Box 8009,Beijing 100088,China

【摘要】 <正>In this paper,we present a cross-constrained variational method to study the Cauchy problem of the nonlinear Klein-Gordon equations with critical nonlinearity in two space dimensions.By constructing a type of cross-constrained variational problem and establishing so-called cross-invariant manifolds of the evolution flow,we establish a sharp threshold of global existence and blowup of it.Furthermore,we answer the question: How small are the initial data if the solution exists globally.更多还原

【Abstract】 In this paper,we present a cross-constrained variational method to study the Cauchy problem of the nonlinear Klein-Gordon equations with critical nonlinearity in two space dimensions.By constructing a type of cross-constrained variational problem and establishing so-called cross-invariant manifolds of the evolution flow,we establish a sharp threshold of global existence and blowup of it.Furthermore,we answer the question: How small are the initial data if the solution exists globally.更多还原

【关键词】 Sharp threshold； Klein-Gordon equation； cross-constrained variational problem； global existence； blowup；
【Key words】 Sharp threshold； Klein-Gordon equation； cross-constrained variational problem； global existence； blowup；

【基金】 Supported by the National Natural Science Foundation of China(No.10771151,10801102,10726034);Sichuan Youth Sciences and Technology Foundation(07ZQ026-009);China Postdoctoral Science Foundation Funded Project.

【文献出处】 Acta Mathematicae Applicatae Sinica ,应用数学学报(英文版) , 编辑部邮箱 ,2009年02期

【分类号】O175.29
【被引频次】2
【下载频次】35

知网节下载

节点文献中：

本文链接的文献网络图示:

本文的引文网络

节点文献