| 关于非线性波动方程的爆破现象 |
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| 引用本文： | 张健. 关于非线性波动方程的爆破现象[J]. 数学季刊, 1992, 7(1): 11-17 |
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| 作者姓名： | 张健 |
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| 作者单位： | 四川师范大学数学系 成都 |
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| 摘 要： | 通过引入一类“爆破因子K(u,ut）”,讨论了非线性波动方程分别具Newmann边界条件和Dirichlet边界条件时,混合问题对于常见的各种非线性情形及初值条件,解在有限时间内的爆破行为。
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| 关 键 词： | 非线性波动方程 爆破现象 混合初边值问题 爆破因子 Neumann边界 Dirichlet边界 |
On the Blowing-up Behaviours for Nonlirear Wave Equations |
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| Zhang Jian. On the Blowing-up Behaviours for Nonlirear Wave Equations[J]. Chinese Quarterly Journal of Mathematics, 1992, 7(1): 11-17 |
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| Authors: | Zhang Jian |
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| Abstract: | This paper deals with the initial-boundary value mixed problems for nonlinear wave equations. By introducing the "blowing-up facts K(u,u_i)", We may discuss the blowing up behaviours of solutions in finite time to the mixed problems with respect to Neumann boundary and Dirichlet boundary for various nonlinear conditions and initial value conditions which usually meet. |
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| Keywords: | nonlinear wave equation blow-up |
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