| 某些非线性波动方程的解的爆破 |
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| 引用本文： | 陈宁. 某些非线性波动方程的解的爆破[J]. 青海大学学报, 1997, 15(3): 1-7 |
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| 作者姓名： | 陈宁 |
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| 作者单位： | 西南工学院基础科学系 |
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| 摘 要： | 本文探讨某些非线性波动方程于混合问题解的爆破性于高阶方程情形,籍引入一类“爆破因子Ｋ（ｕ,ｕｔ）”而得到某些新的结果,它扩充了（４）中对不同的非线性条件和初值条件的常见情形,主要结果是定理１与定理６。
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| 关 键 词： | 非线性 波动方程 爆破性 爆破因子 |
Some Blowing - up Behaviours for Nonlinear Ware Equations |
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| Chen Ning. Some Blowing - up Behaviours for Nonlinear Ware Equations[J]. Journal of Qinghai University(Natural Science), 1997, 15(3): 1-7 |
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| Authors: | Chen Ning |
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| Affiliation: | Basic Science Department of Southwest China Institite of Technology |
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| Abstract: | This paper discusses the blowing-up behaviours of solutions in finite time to the mixed problems for higher order nonlinear wave equations. By introducing the "blowing-up fac-ter K(u, u)", we get some new results which extend some theorems in 4 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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