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

[1] On the blow-up of solutions to a fourth-order pseudoparabolic equation
Polat, Mustafa
TURKISH JOURNAL OF MATHEMATICS, 2022, 46 (03) : 946 - 952
[2] Existence and blow-up of solutions of a fourth-order nonlinear diffusion equation
Jin, Chunhua
Yin, Jingxue
Yin, Li
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (05) : 2313 - 2325
[3] A note on blow-up of solutions for a class of fourth-order wave equation with viscous damping term
Zhao, Weifan
Liu, Wenjun
APPLICABLE ANALYSIS, 2018, 97 (09) : 1496 - 1504
[4] Blow-Up Phenomena for a Fourth-Order Parabolic Equation with a General Nonlinearity
Han, Yuzhu
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2021, 27 (02) : 261 - 270
[5] Blow-Up Phenomena for a Fourth-Order Parabolic Equation with a General Nonlinearity
Yuzhu Han
Journal of Dynamical and Control Systems, 2021, 27 : 261 - 270
[6] On blow-up of solutions for a semilinear parabolic equation involving variable source and positive initial energy
Wang, Hua
He, Yijun
APPLIED MATHEMATICS LETTERS, 2013, 26 (10) : 1008 - 1012
[7] Blow-up of solutions for a semilinear parabolic equation involving variable source and positive initial energy
Wu, Xiulan
Guo, Bin
Gao, Wenjie
APPLIED MATHEMATICS LETTERS, 2013, 26 (05) : 539 - 543
[8] BLOW-UP PHENOMENA FOR A CLASS OF FOURTH-ORDER PARABOLIC PROBLEMS
Philippin, G. A.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143 (06) : 2507 - 2513
[9] Blow-up of solutions to a viscoelastic parabolic equation with positive initial energy
Haixia Li
Yuzhu Han
Boundary Value Problems, 2017
[10] Blow-up of solutions to a viscoelastic parabolic equation with positive initial energy
Li, Haixia
Han, Yuzhu
BOUNDARY VALUE PROBLEMS, 2017,

← 1 2 3 4 5 →