| 一非线性双曲型方程解的爆破 |
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| 引用本文： | 陈翔英,刘维先. 一非线性双曲型方程解的爆破[J]. 数学季刊, 2002, 17(2): 106-110 |
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| 作者姓名： | 陈翔英 刘维先 |
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| 作者单位： | [1]郑州电力高等专科学校基础部，河南郑州450004 [2]河南工业职业技术学院，数学教研室，河南南阳473009 |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina(10 0 710 74 )，SupportedbytheNaturalScienceFoundationofHenanProvince(0 0 4 0 5 0 10 0 ) |
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| 摘 要： | 本文应用压缩映射原理证明一非线性双曲型方程的初边值问题存在唯一局部广义解，并给出此问题的广义解爆破的充分条件。
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| 关 键 词： | 非线性双曲型方程 初边值问题 局部解 解 爆破 |
Blow-up of Solution for a Nonlinear Hyperbolic Equation |
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| CHEN Xiangying,LIU Weixian. Blow-up of Solution for a Nonlinear Hyperbolic Equation[J]. Chinese Quarterly Journal of Mathematics, 2002, 17(2): 106-110 |
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| Authors: | CHEN Xiangying LIU Weixian |
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| Abstract: | In this paper, the existence and uniqueness of the local generalized solution of the initial boundary value problem for a nonlinear hyperbolic equation are proved by the contraction mapping principle and the sufficient conditions of blow_up of the solution in finite time are given. |
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| Keywords: | nonlinear hyperbolic equation initial boundary value problem local generalized solution blow_up of solution |
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