| 一类非线性波方程整体解的存在性和不存在性 |
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| 引用本文： | 王艳萍. 一类非线性波方程整体解的存在性和不存在性[J]. 数学研究及应用, 2009, 29(1): 164-168 |
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| 作者姓名： | 王艳萍 |
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| 作者单位： | 郑州航空工业管理学院数理系, 河南 郑州 450015 |
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| 基金项目： | 国家自然科学基金(No.10671182);河南省高等学校青年骨干教师资助计划(No.2006110016). |
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| 摘 要： | This paper deals with the existence and uniqueness of the global solution of the initial boundary value problem of a class of wave equation. In the meantime, it gives the sufficient conditions of blow-up of the solution for the problem in finite time.
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| 关 键 词： | 微分方程 双曲型方程 定性理论 研究 |
| 收稿时间： | 2006-11-03 |
| 修稿时间： | 2007-01-19 |
The Existence and Non-Existence of Global Solutions for a Nonlinear Wave Equation |
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| WANG Yan Ping. The Existence and Non-Existence of Global Solutions for a Nonlinear Wave Equation[J]. Journal of Mathematical Research with Applications, 2009, 29(1): 164-168 |
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| Authors: | WANG Yan Ping |
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| Affiliation: | Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Henan 450015, China |
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| Abstract: | This paper deals with the existence and uniqueness of the global solution of the initial boundary value problem of a class of wave equation. In the meantime, it gives the sufficient conditions of blow-up of the solution for the problem in finite time. |
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| Keywords: | nonlinear wave equation initial boundary value problem global solution blow-up of solution. |
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