On uniform decay of the solution for a damped nonlinear coupled system of wave equations with nonlinear boundary damping and memory term

被引:2
|
作者
Bae, JJ [1 ]
机构
[1] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea
关键词
existence of solution; uniform decay; wave equation; boundary value problem; a priori estimates;
D O I
10.1016/S0096-3003(02)00838-X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we are concerned with the existence and energy decay of the solution to the initial boundary value problem for the nonlinear coupled wave equations with nonlinear boundary damping and memory term. (C) 2002 Elsevier Inc. All rights reserved.
引用
收藏
页码:207 / 223
页数:17
相关论文
共 50 条
  • [21] ELASTIC MEMBRANE EQUATION WITH MEMORY TERM AND NONLINEAR BOUNDARY DAMPING:GLOBAL EXISTENCE,DECAY AND BLOWUP OF THE SOLUTION
    Abderrahmane ZARA
    Nasser-eddine TATAR
    Salem ABDELMALEK
    Acta Mathematica Scientia, 2013, 33 (01) : 84 - 106
  • [22] A general decay result of a coupled system of nonlinear wave equations
    Al-Gharabli M.M.
    Kafini M.M.
    Rendiconti del Circolo Matematico di Palermo Series 2, 2018, 67 (1): : 145 - 157
  • [23] General decay for a system of nonlinear viscoelastic wave equations with weak damping
    Baowei Feng
    Yuming Qin
    Ming Zhang
    Boundary Value Problems, 2012
  • [24] General decay for a system of nonlinear viscoelastic wave equations with weak damping
    Feng, Baowei
    Qin, Yuming
    Zhang, Ming
    BOUNDARY VALUE PROBLEMS, 2012,
  • [25] Uniform energy decay rates for nonlinear viscoelastic wave equation with nonlocal boundary damping
    Li, Fushan
    Zhao, Cuiling
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (11) : 3468 - 3477
  • [26] Global Attractor for Damped Wave Equations with Nonlinear Memory
    Yinghao HAN 1
    2.School of Mathematical Sciences
    数学研究及应用, 2012, 32 (02) : 213 - 222
  • [27] On the Global Nonexistence of a Solution for Wave Equations with Nonlinear Memory Term
    Reda, Soufiane Bousserhane
    Memou, Amer
    Berkane, Abdelhak
    Himadan, Ahmed
    Moumen, Abdelkader
    Saber, Hicham
    Alraqad, Tariq
    FRACTAL AND FRACTIONAL, 2023, 7 (11)
  • [28] Uniform attractors for nonautonomous wave equations with Nonlinear damping
    Sun, Chunyou
    Cao, Daomin
    Duan, Jinqiao
    SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2007, 6 (02): : 293 - 318
  • [29] Uniform boundary stabilization of a wave equation with nonlinear acoustic boundary conditions and nonlinear boundary damping
    Graber, P. Jameson
    JOURNAL OF EVOLUTION EQUATIONS, 2012, 12 (01) : 141 - 164
  • [30] Uniform boundary stabilization of a wave equation with nonlinear acoustic boundary conditions and nonlinear boundary damping
    P. Jameson Graber
    Journal of Evolution Equations, 2012, 12 : 141 - 164