Growth of Solutions with Positive Initial Energy to Systems of Nonlinear Wave Equations with Damping and Source Terms

被引：0

作者：

Piskin, Erhan ^{[1
]}

机构：

[1] Dicle Univ, Dept Math, TR-21280 Diyarbakir, Turkey

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2015年 / 2015卷

关键词：

VISCOELASTIC EQUATION; BLOW-UP; DECAY; NONEXISTENCE; EXISTENCE;

D O I：

10.1155/2015/523254

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider initial-boundary conditions for coupled nonlinear wave equations with damping and source terms. We prove that the solutions of the problem are unbounded when the initial data are large enough in some sense.

引用

页数：5

共 50 条

[31] Stochastic Viscoelastic Wave Equations with Nonlinear Damping and Source Terms
Cheng, Shuilin
Guo, Yantao
Tang, Yanbin
JOURNAL OF APPLIED MATHEMATICS, 2014,
[32] Global existence and blow up of positive initial energy solution of a quasilinear wave equation with nonlinear damping and source terms
Ogbiyele, Paul A.
INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2020, 10 (04) : 299 - 320
[33] Strong solutions for semilinear wave equations with damping and source terms
Radu, Petronela
APPLICABLE ANALYSIS, 2013, 92 (04) : 718 - 739
[34] On global solutions and energy decay for the wave equations of Kirchhoff type with nonlinear damping terms
Matsuyama, T
Ikehata, R
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 204 (03) : 729 - 753
[35] Non-existence of global solutions for a class of wave equations with nonlinear damping and source terms
Wu, Shun-Tang
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2011, 141 : 865 - 880
[36] Global nonexistence of solutions for a system of nonlinear viscoelastic wave equations with degenerate damping and source terms
D. Ouchenane
Kh. Zennir
M. Bayoud
Ukrainian Mathematical Journal, 2013, 65 : 723 - 739
[37] General decay of solutions for a nonlinear system of viscoelastic wave equations with degenerate damping and source terms
Wu, Shun-Tang
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 406 (01) : 34 - 48
[38] Global nonexistence of solutions for a system of nonlinear viscoelastic wave equations with degenerate damping and source terms
Ouchenane, D.
Zennir, Kh
Bayoud, M.
UKRAINIAN MATHEMATICAL JOURNAL, 2013, 65 (05) : 723 - 739
[39] Blow-up of generalized solutions to wave equations with nonlinear degenerate damping and source terms
Barbu, Viorel
Lasiecka, Irena
Rammaha, Mohammad A.
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2007, 56 (03) : 995 - 1021
[40] BLOWUP AND ASYMPTOTIC STABILITY OF WEAK SOLUTIONS TO WAVE EQUATIONS WITH NONLINEAR DEGENERATE DAMPING AND SOURCE TERMS
Hu, Qingying
Zhang, Hongwei
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,

← 1 2 3 4 5 →