| 非线性波动方程Cauchy问题整体解的存在唯一性 |
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| 引用本文： | 邵午珊,盛其荣.非线性波动方程Cauchy问题整体解的存在唯一性[J].新疆大学学报(理工版),1991,8(4):24-29. |
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| 作者姓名： | 邵午珊 盛其荣 |
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| 作者单位： | 新疆大学数学系，新疆大学数学系 |
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| 摘 要： | 本文讨论了非线性Klein-Gordon方程的Cauchy问题,利用波动算子的Lorentz不变性,在广义Sobolev空间框架下,得到了整体解的存在唯一性。
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| 关 键 词： | 非线性波动方程 能量估计 衰减估计 |
Existence and Uniquenss of Non-linear Wave Equation of Cauchy Problem Entire Solution |
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| Sha Wushan Sheng Qirong.Existence and Uniquenss of Non-linear Wave Equation of Cauchy Problem Entire Solution[J].Journal of Xinjiang University(Science & Engineering),1991,8(4):24-29. |
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| Authors: | Sha Wushan Sheng Qirong |
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| Institution: | Department of Mathematics |
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| Abstract: | In this papr, Cauchy problem of non-linear Klein-Gordon equation is discussed. By using of the Lorentz invariance of wave operator under the frame of generalized Sobolev space, existence and uniquenss of the entire solution are obtained. |
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| Keywords: | Non-linear wave equation estimation of energy estimation of decay |
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