| 一类非线性双曲型方程初边值问题解的爆破 |
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| 引用本文： | 王艳萍,郭柏灵. 一类非线性双曲型方程初边值问题解的爆破[J]. 数学物理学报(A辑), 2008, 28(4): 688-693 |
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| 作者姓名： | 王艳萍 郭柏灵 |
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| 作者单位： | [1]郑州航空工业管理学院数理系,郑州450015 [2]北京应用物理与计算数学研究所北京8009信箱,北京100088 |
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| 基金项目： | 河南省高校青年骨干教师资助项目,国家自然科学基金 |
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| 摘 要： | 该文给出一类非线性双曲型方程初边值问题解爆破的充分条件, 并证明问题局部解的存在性与唯一性
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| 关 键 词： | 非线性双曲型方程 解的爆破 初边值问题 局部解 |
| 收稿时间： | 2006-05-08 |
| 修稿时间： | 2008-03-15 |
Blow-up of Solution for an Initial Boundary Value Problem for a Nonlinear Hyperbolic Equation |
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| Wang Yanping,Guo Boling. Blow-up of Solution for an Initial Boundary Value Problem for a Nonlinear Hyperbolic Equation[J]. Acta Mathematica Scientia, 2008, 28(4): 688-693 |
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| Authors: | Wang Yanping Guo Boling |
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| Affiliation: | (1. Department of Mathematics and Physics,Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015; 2. Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100088) |
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| Abstract: | This paper gives the sufficient conditions of blow-up of the solution of a nonlinear hyperbolic equation with the initial boundary value conditions in finite time and proves the existence and uniqueness of the local solution of the problem. |
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| Keywords: | Nonlinear hyperbolic equationzz Blow-up of solutionzz Initial boundary problemzz Local solutionzz |
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