Blow-up of solution of an initial boundary value problem for a damped nonlinear hyperbolic equation

被引：14

作者：

Chen, GW ^{[1
]}

Wang, YP ^{[1
]}

Zhao, ZC ^{[1
]}

机构：

[1] Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2004年 / 17卷 / 05期

基金：

中国国家自然科学基金;

关键词：

nonlinear damped hyperbolic equation; existence of local solution; blow-up of solution;

D O I：

10.1016/S0893-9659(04)90116-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper gives the sufficient conditions of blow-up of the solution of a nonlinear damped hyperbolic equation with the initial boundary value conditions in finite time and proves the existence and uniqueness of the local generalized solution of this problem. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：491 / 497

页数：7

共 12 条

[1] Energy decay for a damped nonlinear hyperbolic equation [J].

Aassila, M ;

Guesmia, A .

APPLIED MATHEMATICS LETTERS, 1999, 12 (03) :49-52

[2] A nonlinear beam equation [J].

Ackleh, AS ;

Banks, HT ;

Pinter, GA .

APPLIED MATHEMATICS LETTERS, 2002, 15 (03) :381-387

[3]

Banks H.T., 1997, Differential and Integral Equations, V10, P309

[4]

BANKS HT, 1995, COMPUTATION CONTROL, V4

[5]

CHEN G, 2001, CHINESE J CONT MATH, V22, P259

[6]

Kalantarov V. K., 1978, Journal of Soviet Mathematics, V10, P53, DOI 10.1007/BF01109723

[7]

Ladyzhenskaya O., 1991, ATTRACTORS SEMIGROUP

[8]

LADYZHENSKAYA OA, 1968, TRANSLATIONS AMS, V23, P381

[9] INSTABILITY AND NONEXISTENCE OF GLOBAL SOLUTIONS TO NONLINEAR-WAVE EQUATIONS OF FORM PUTT = -AU + F(U) [J].

LEVINE, HA .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 192 :1-21

[10] SOME ADDITIONAL REMARKS ON NONEXISTENCE OF GLOBAL SOLUTIONS TO NONLINEAR-WAVE EQUATIONS [J].

LEVINE, HA .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1974, 5 (01) :138-146

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