| 一维具阻尼非线性双曲型方程Cauchy问题解的爆破 |
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| 引用本文： | 陈国旺,达芳.一维具阻尼非线性双曲型方程Cauchy问题解的爆破[J].郑州大学学报(理学版),2005,37(2):5-9. |
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| 作者姓名： | 陈国旺 达芳 |
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| 作者单位： | 郑州大学数学系,郑州,450001 |
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| 摘 要： | 证明一维具阻尼非线性双曲型方程Cauchy问题局部广义解和局部古典解的存在性和惟一性,并给出这个问题解爆破的充分条件.
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| 关 键 词： | 一维具阻尼非线性双曲型方程 Cauchy问题 解的爆破 |
Blow-up of Solution of Cauchy Problem for One-dimensional Damped Nonlinear Hyperbolic Equation |
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| Chen Guowang,Da Fang.Blow-up of Solution of Cauchy Problem for One-dimensional Damped Nonlinear Hyperbolic Equation[J].Journal of Zhengzhou University:Natural Science Edition,2005,37(2):5-9. |
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| Authors: | Chen Guowang Da Fang |
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| Abstract: | The existence and uniqueness of the local generalized solution and local classical solution of Cauchy problem for one-dimensional damped nonlinear hyperbolic equation are proved. The sufficient conditions of blow-up of the solution for this problem are given. |
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| Keywords: | one-dimensional damped nonlinear hyperbolic equation Cauchy problem blow-up of solution |
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