学术
国际标准刊号：ISSN 1001-9847
国内统一刊号：CN 42-1184
摘 要:
本文证明一具有阻尼非线性双曲型方程初边值问题局部广义解的存在性和唯一性，并给出此问题解爆破的充分条件．[著者文摘]
关 键 词:
文章出处:
《应用数学》-2006年19卷1期 -145-151页
Mathematica Applicata
文献标识码:
A
文章编号:
1001-9847（2006）01-0145-07
Nonexistence of Global Solution of an Initial Boundary Value Problem for a Damped Nonlinear Hyperbolic Equation
XUE Hong-xia,CHEN Guo-wang （Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China）
Abstract:
This paper proves the existence and uniqueness of the local generalized solution of a non-linear damped hyperbolic equation with the initial boundary value conditions and gives the sufficient conditions of blow-up of the solution of this problem.[著者文摘]
Key words:
Nonlinear damped hyperbolic equation; Initial boundary value problem;Existence and uniqueness of local solution; Blow-up of solution
收稿日期: 2005-03-29
基金资助:
Foundation item： Supported by National Natural Science Foundation of China （ 10371111）
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