| Global solution for coupled nonlinear Klein-Gordon system |
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| 作者姓名： | 甘在会 张健 |
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| 作者单位： | College of Mathematics and Software Science Sichuan Normal University，College of Mathematics and Software Science，Sichuan Normal University，Chengdu 610068，P. R. China，Chengdu 610068，P. R. China |
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| 基金项目： | 国家自然科学基金;四川省自然科学基金青年学者基金 |
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| 摘 要： | The globed 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.
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| 关 键 词： | 耦合非线性Klein-Gordon系统 全局解 二维空间 崩溃 |
| 收稿时间： | 2006-04-04 |
| 修稿时间： | 2007-03-03 |
Global solution for coupled nonlinear Klein-Gordon system |
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| Gan?Zai-hui,Zhang?Jian.Global solution for coupled nonlinear Klein-Gordon system[J].Applied Mathematics and Mechanics(English Edition),2007,28(5):677-687. |
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| Authors: | Gan?Zai-hui Zhang?Jian |
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| Institution: | College of Mathematics and Software Science,Sichuan Normal University, Chengdu 610068,P.R.China |
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| Abstract: | The globed 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. |
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| Keywords: | couple nonlinear Klein-Gordon system global solution blowup cross-constrained variational problem sharp threshold |
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