| 非线性Klein-Gordon方程耦合组Cauchy问题整体经典解的存在唯一性 |
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| 引用本文： | 盛其荣.非线性Klein-Gordon方程耦合组Cauchy问题整体经典解的存在唯一性[J].新疆大学学报(理工版),1989(1). |
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| 作者姓名： | 盛其荣 |
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| 作者单位： | 新疆大学数学系 |
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| 摘 要： | 本文讨论非线性Klein-Gordon方程耦合组的Cauchy问题.对初值和空间维数及非线性项加以适当限制,在Scbolev空间框架下,得到了整体经典解的存在唯一定理.
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| 关 键 词： | 非线性方程 耦合组 小初值 能量估计 |
Global Existence The orem of Soltion for Cauchy Problem For Nonlinear Klein-Gordon Equation Coupling Systems |
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| Sheng Qirong.Global Existence The orem of Soltion for Cauchy Problem For Nonlinear Klein-Gordon Equation Coupling Systems[J].Journal of Xinjiang University(Science & Engineering),1989(1). |
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| Authors: | Sheng Qirong |
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| Institution: | Sheng Qirong |
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| Abstract: | In this paper Cauchy problem for nonlinear Klein-Gordon equation Coupling systems is discussed and some restrictions on initial data and space dimension and nonlinear term are given In Soboley space,we obtained the existance and unique-ness of global solution by usiug fixed-point principles. |
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| Keywords: | nonlinear equation coupling systems initial data energy estimation |
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