| 具非线性源项和阻尼项的波动方程解的爆破 |
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| 引用本文： | 岳红云,刘宏超.具非线性源项和阻尼项的波动方程解的爆破[J].湖北民族学院学报(哲学社会科学版),2011(2). |
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| 作者姓名： | 岳红云 刘宏超 |
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| 作者单位： | 河南工业大学理学院;郑州大学数学系; |
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| 基金项目： | 河南工业大学校科研基金项目(08XJC030) |
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| 摘 要： | 通过对一类具有非线性源项和阻尼项的波动方程的研究,在源项的指数p大于阻尼项的指数m的情况下,得到了初边值问题的解在有限时刻爆破的一个充分条件.
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| 关 键 词： | 非线性源项和阻尼项 波动方程 Hlder不等式 解的爆破 |
Blow-up of Solution of the Wave Equation with Nonlinear Damping and Source Terms |
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| YUE Hong-yun,LIU Hong-chao.Blow-up of Solution of the Wave Equation with Nonlinear Damping and Source Terms[J].Journal of Hubei Institute for Nationalities(Natural Sciences),2011(2). |
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| Authors: | YUE Hong-yun LIU Hong-chao |
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| Institution: | YUE Hong-yun1,LIU Hong-chao2(1.College of Science,Henan University of Technology,Zhengzhou 450001,China,2.Department of Mathematics,Zhengzhou University,China) |
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| Abstract: | This paper discusses the sufficient conditions of blow-up of the wave equation with nonlinear damping and source terms.In the research,the index p of the source terms is greater than the index m of the damping.At last,we obtain the conclusion that the solution is blow-up in finite time. |
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