INITIAL BOUNDARY VALUE PROBLEM FOR A DAMPED NONLINEAR HYPERBOLIC EQUATION 被引量：8

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摘要 In the paper,the existence and uniqueness of the generalized global solution and the classical global solution of the initial boundary value problems for the nonlonear hyperbolic equation utt+k1uxxxx+k2uxxxxt+g(uxx)xx=f(x,t) are proved by Galerkin method and the sufficient conditions of blow-up of solution in finite time are given.

作者 ChenGuowang

机构地区 DepartmentofMathematics

出处《Journal of Partial Differential Equations》 2003年第1期49-61,共13页 偏微分方程（英文版）

关键词初边值问题阻尼非线性双曲方程全局解胀开存在性唯一性

分类号 O175.27 [理学—基础数学] O175.8 [理学—基础数学]

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1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(英文)[J].郑州大学学报（理学版）,2005,37(2):5-9. 被引量：3
2呼青英,张宏伟.具阻尼的非线性双曲方程初边值问题的能量衰减性[J].工程数学学报,2005,22(5):939-942.
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6宋瑞丽,霍振宏,苏婷.一类具阻尼非线性双曲型方程的初边值问题解的爆破[J].河南工程学院学报（自然科学版）,2012,24(2):75-80.
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8肖黎明,黎明堃.两类非线性发展方程解的爆破[J].广东技术师范学院学报,2019,40(3):6-9. 被引量：2

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5郑晓茵,肖黎明.三类非线性发展方程解的爆破性质[J].广东技术师范学院学报,2019,40(6):52-57. 被引量：1
6肖黎明,罗操.外力密度依赖于速度的两类高阶n维非线性发展方程解的爆破[J].广东技术师范大学学报,2023,44(3):24-28.

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Journal of Partial Differential Equations

2003年第1期

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INITIAL BOUNDARY VALUE PROBLEM FOR A DAMPED NONLINEAR HYPERBOLIC EQUATION 被引量：8

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