Blow-up of Solutions for a Class of Fourth-order Equation Involving Dissipative Boundary Condition and Positive Initial Energy

被引：7

作者：

Shahrouzi, Mohammad ^{[1
]}

机构：

[1] Jahrom Univ, Dept Math, Jahrom 74137, Iran

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2014年 / 27卷 / 04期

关键词：

Blow up; fourth order; boundary dissipation;

D O I：

10.4208/jpde.v27.n4.5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a forth order nonlinear wave equation with dissipative boundary condition. We show that there are solutions under some conditions on initial data which blow up in finite time with positive initial energy.

引用

页码：347 / 356

页数：10

共 50 条

[31] Blow-up analysis for a class of higher-order viscoelastic inverse problem with positive initial energy and boundary feedback
Shahrouzi, Mohammad
ANNALI DI MATEMATICA PURA ED APPLICATA, 2017, 196 (05) : 1877 - 1886
[32] Blow up of positive initial energy solutions for a wave equation with fractional boundary dissipation
Lu, Liqing
Li, Shengjia
APPLIED MATHEMATICS LETTERS, 2011, 24 (10) : 1729 - 1734
[33] Blow-up solutions for a string equation with nonlinear boundary source and arbitrary-initial-energy
Li, Shengjia
Feng, Hongyinping
Wu, Mijing
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (14) : 5653 - 5663
[34] Blow-up for a thin-film equation with positive initial energy
Zhou, Jun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 446 (01) : 1133 - 1138
[35] Blow-up of a nonlocal semilinear parabolic equation with positive initial energy
Gao, Wenjie
Han, Yuzhu
APPLIED MATHEMATICS LETTERS, 2011, 24 (05) : 784 - 788
[36] Blow-up phenomena for a doubly degenerate equation with positive initial energy
Mu, Chunlai
Zeng, Rong
Chen, Botao
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (02) : 782 - 793
[37] Blow-up of solutions for semilinear heat equation with nonlinear nonlocal boundary condition
Gladko, Alexander
Kim, Kwang Ik
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 338 (01) : 264 - 273
[38] Existence and blow-up of solutions for a porous medium equation with nonlocal boundary condition
Gao, Yunzhu
Gao, Wenjie
APPLICABLE ANALYSIS, 2011, 90 (05) : 799 - 809
[39] Upper and lower bounds for the blow-up time of a fourth-order parabolic equation with exponential nonlinearity
Chang, Shuting
Ye, Yaojun
ELECTRONIC RESEARCH ARCHIVE, 2024, 32 (11): : 6225 - 6234
[40] Blow-up phenomena for a class of fourth-order nonlinear wave equations with a viscous damping term
Khelghati, Ali
Baghaei, Khadijeh
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (02) : 490 - 494

← 1 2 3 4 5 →