| 一类拟线性发展方程解的Blow-up |
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| 引用本文： | 于涛. 一类拟线性发展方程解的Blow-up[J]. 哈尔滨工程大学学报, 2000, 21(3): 68-69 |
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| 作者姓名： | 于涛 |
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| 作者单位： | 哈尔滨工程大学,理学院,黑龙江,哈尔滨,150001 |
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| 摘 要： | 用特征函数法研究相当广泛的一类拟线性发展方程（包括非线性拟双曲方程和强阻尼非线性波动方程）的初边值问题解的非整体存在性与ｂｌｏｗ－ｕｐ，证明了在某些条件下，解必在有限时间内ｂｏｗ－ｕｐ。
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| 关 键 词： | 拟线性发展方程 初边值 blow－up 解 |
| 文章编号： | 1006-7043(2000)03-0068-02 |
| 修稿时间： | 2000-04-25 |
Blow-up of Solution of a Class of Quasilinear Evolution Equation |
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| YU Tao. Blow-up of Solution of a Class of Quasilinear Evolution Equation[J]. Journal of Harbin Engineering University, 2000, 21(3): 68-69 |
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| Authors: | YU Tao |
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| Abstract: | By using eigenfunction method we studied the global nonexistence and blow_up of solution of the initial_boundary value problem for a class of quasilinear evolution equation (including nonlinear psedohyperbolic equation and strongly damped nonlinear wave equation),and proved that under some conditions the solution must blow_up in a finite time. |
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| Keywords: | quasilinear evolution equation initial_boundary value blow_up |
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