| 拟线性波动方程整体解的爆破 |
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| 引用本文： | 袁庆,周晔. 拟线性波动方程整体解的爆破[J]. 南京工业大学学报(自然科学版), 2006, 28(3): 61-64 |
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| 作者姓名： | 袁庆 周晔 |
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| 作者单位： | 1. 南京工业大学,理学院,江苏,南京,210009
2. 南瑞集团,大坝监测公司,江苏,南京,210009 |
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| 摘 要： | 工程领域中许多问题可以归结为二阶拟线性波动方程，文中研究了含有源项的一类二阶拟线性波动方程的初边值问题，对于此类问题的解已有了许多研究结果。文章主要研究解的爆破，先给出一个引理，利用引理的结果成功地得到了一定理，即得到了此类问题整体解爆破的充分条件。
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| 关 键 词： | 二阶拟线性波动方程 源项 整体解 爆破 |
| 文章编号： | 1671-7643（2006）03-0061-04 |
| 收稿时间： | 2005-10-19 |
| 修稿时间： | 2005-10-19 |
Bolw up of global solutions to quasi-linear wave equation |
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| YUAN Qing,ZHOU Ye. Bolw up of global solutions to quasi-linear wave equation[J]. Journal of Nanjing University of Technology, 2006, 28(3): 61-64 |
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| Authors: | YUAN Qing ZHOU Ye |
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| Abstract: | There are some problems neering field. The initial-boundary v which be summed up as the second order quasi-linear wave equation in engialue problem of the second order quasi-linear wave equation with a source term was considered. The behaviors of the solutions of the problem had some results. With a proposed lemma, a theorem and the sufficient condition of the blow up of the global solution to the problems were obtained. |
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| Keywords: | the second order quasi-linear wave qeuation source term global solution blow up |
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