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 50 条

[41] Global solution and blow-up solution for a nonlinear damped beam with source term
WU Jieqiong LI Shengjia School of Mathematical Sciences Shanxi University Taiyuan China
Applied Mathematics:A Journal of Chinese Universities(Series B), 2010, 25 (04) : 447 - 453
[42] The parabolic logistic equation with blow-up initial and boundary values
Yihong Du
Rui Peng
Peter Pol áçik
Journal d'Analyse Mathématique, 2012, 118 : 297 - 316
[43] The parabolic logistic equation with blow-up initial and boundary values
Du, Yihong
Peng, Rui
Polacik, Peter
JOURNAL D ANALYSE MATHEMATIQUE, 2012, 118 : 297 - 316
[44] Blow-up of solutions for the damped Boussinesq equation
Polat, N
Kaya, D
Tutalar, HI
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2005, 60 (07): : 473 - 476
[45] BLOW-UP PROBLEM FOR SEMILINEAR HEAT EQUATION WITH NONLINEAR NONLOCAL NEUMANN BOUNDARY CONDITION
Gladkov, Alexander
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2017, 16 (06) : 2053 - 2068
[46] On global solution of an initial boundary value problem for a class of damped nonlinear equations
Lin, Qun
Wu, Yong Hong
Lai, Shaoyong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (12) : 4340 - 4351
[47] Blow-up analysis for a nonlinear diffusion equation with nonlinear boundary conditions
Jiang, ZX
Zheng, SN
Song, XF
APPLIED MATHEMATICS LETTERS, 2004, 17 (02) : 193 - 199
[48] Blow up of solutions to the initial boundary value problem for quasilinear strongly damped wave equations
Bilgin, Bilgesu A.
Kalantarov, Varga K.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 403 (01) : 89 - 94
[49] BLOW-UP IN DAMPED ABSTRACT NONLINEAR EQUATIONS
Esquivel-Avila, Jorge A.
ELECTRONIC RESEARCH ARCHIVE, 2020, 28 (01): : 347 - 367
[50] Infinite time blow-up with arbitrary initial energy for a damped plate equation
Li, Xiatong
Fang, Zhong Bo
MATHEMATISCHE NACHRICHTEN, 2024, 297 (06) : 2148 - 2174

← 1 2 3 4 5 →