Global Solution for a Coupled Nonlinear Klein-Gordon System

GAN Zai-hui; ZHANG Jian

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GAN Zai-hui, ZHANG Jian. Global Solution for a Coupled Nonlinear Klein-Gordon System[J]. Applied Mathematics and Mechanics, 2007, 28(5): 603-613.

Citation:

GAN Zai-hui, ZHANG Jian. Global Solution for a Coupled Nonlinear Klein-Gordon System[J]. Applied Mathematics and Mechanics, 2007, 28(5): 603-613.

Citation:

GAN Zai-hui, ZHANG Jian. Global Solution for a Coupled Nonlinear Klein-Gordon System[J]. Applied Mathematics and Mechanics, 2007, 28(5): 603-613.

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Global Solution for a Coupled Nonlinear Klein-Gordon System

1.
College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610068, P. R. China

Received Date: 2006-04-04
Rev Recd Date: 2007-03-09
Publish Date: 2007-05-15

Abstract

Abstract

The global solution for a coupled nonlinear Klein-Gordon system in two space dimensions is studied.First,a sharp threshold of blowup and global existence for the system is 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 are for which the solution of the system exists globally is proved by using the scaling argument.
- couple nonlinear Klein-Gordon system,
- Global solution,
- blow up,
- cross-constrained variational problem,
- sharp threshold

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References(12)

References

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