| 一类具非线性源项的波动方程解的爆破研究 |
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| 引用本文： | 何利平. 一类具非线性源项的波动方程解的爆破研究[J]. 太原师范学院学报(自然科学版), 2012, 11(1): 61-62,94 |
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| 作者姓名： | 何利平 |
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| 作者单位： | 晋城职业技术学院,山西晋城,048000 |
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| 摘 要： | 文章研究一类具有线性阻尼和非线性源项的波动方程的柯西问题.通过构造合适的辅助函数,并构造合适的微分不等式,给出了系统解的爆破的充分条件.
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| 关 键 词： | 非线性波动方程 Cauchy问题 非线性源项 解的爆破 |
Blow-up of Solutions for a Wave Equation with Nonlinear Terms |
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| He Liping. Blow-up of Solutions for a Wave Equation with Nonlinear Terms[J]. Journal of Taiyuan Normal University:Natural Science Edition, 2012, 11(1): 61-62,94 |
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| Authors: | He Liping |
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| Affiliation: | He Liping(Jincheng Institute of Technology,Jincheng 048000,China) |
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| Abstract: | To study the Cauchy problem of wave equation with linear damping and nonlinear source term.By constructing suitable auxiliary functions and suitable differential inequalities,we prove that under some conditions the solutions blow up in finite time. |
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| Keywords: | nonlinear wave equation Cauchy problem nonlinear source term blow-up solution |
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