| 五维空间中半线性波动方程整体解的存在性定理 |
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| 引用本文： | 矫恒利,周正芳.五维空间中半线性波动方程整体解的存在性定理[J].数学研究及应用,2002,22(3):351-367. |
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| 作者姓名： | 矫恒利 周正芳 |
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| 作者单位： | JIAO Heng-li（Dept. of Math., Ferris State University, Big Rapids, MI
39217, USA）
ZHOU Zheng-fang（Dept. of Math., Michigan State University, East Lansing,
MI 48824, USA） |
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| 摘 要： | 本文研究五维空间中半线性波动方程utt-△u=G（u）整体解的存在性,其中G（u）～|u|p并且p>（3+(17)1/2)/4.利用经典的迭代方法证明了:如果初始值很小并且紧支的,径向对称方程有一个经典整体解.
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| 关 键 词： | 五维空间 半线性波动方程 整体解 存在性定理 |
| 收稿时间： | 2000/12/27 0:00:00 |
A Global Existence Theorem for Semilinear Wave Equations in Five Space Dimension |
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| JIAO Heng-li and ZHOU Zheng-fang.A Global Existence Theorem for Semilinear Wave Equations in Five Space Dimension[J].Journal of Mathematical Research with Applications,2002,22(3):351-367. |
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| Authors: | JIAO Heng-li and ZHOU Zheng-fang |
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| Institution: | 1. Dept. of Math., Ferris State University, Big Rapids, MI 39217, USA
2. Dept. of Math., Michigan State University, East Lansing, MI 48824, USA |
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| Abstract: | This paper concerns the global existence of solutions to the semi-linearwave equation utt- △u = G(u) in five space dimensions, where G(u) ～ |u|p with p ＞3+√17/4 . We used the classical iteration method and technique estimates to show thata classical global solution exists for the radially symmetric equations with small andcompact supported initial data. |
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| Keywords: | global existence semi-linear wave equation |
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