Global Well-Posedness and Stability for a Viscoelastic Plate Equation with a Time Delay

被引：22
|
作者：
Feng, Baowei [1 ]
机构：
[1] Southwestern Univ Finance & Econ, Coll Econ Math, Chengdu 611130, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2015年 / 2015卷
关键词：
EXPONENTIAL DECAY; EXTENSIBLE BEAM; WAVE-EQUATION; ASYMPTOTIC-BEHAVIOR; BOUNDARY; STABILIZATION; EXISTENCE; HEAT;
D O I：
10.1155/2015/585021
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A plate equation with a memory term and a time delay term in the internal feedback is investigated. Under suitable assumptions, we establish the global well-posedness of the initial and boundary value problem by using the Faedo-Galerkin approximations and some energy estimates. Moreover, by using energy perturbation method, we prove a general decay result of the energy provided that the weight of the delay is less than the weight of the damping.
引用
收藏
页数：10
相关论文
共 50 条
  • [41] Global well-posedness for the Benjamin equation in low regularity
    Li, Yongsheng
    Wu, Yifei
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (06) : 1610 - 1625
  • [42] Global Well-Posedness for the Fractional Nonlinear Schrodinger Equation
    Guo, Boling
    Huo, Zhaohui
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2011, 36 (02) : 247 - 255
  • [43] GLOBAL WELL-POSEDNESS ON THE DERIVATIVE NONLINEAR SCHRODINGER EQUATION
    Wu, Yifei
    ANALYSIS & PDE, 2015, 8 (05): : 1101 - 1112
  • [44] Global Well-Posedness and Scattering for Derivative Schrodinger Equation
    Wang, Yuzhao
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2011, 36 (10) : 1694 - 1722
  • [45] Global Well-Posedness for Compressible Viscoelastic Fluids near Equilibrium
    Qian, Jianzhen
    Zhang, Zhifei
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2010, 198 (03) : 835 - 868
  • [46] Global well-posedness for the KP-I equation
    Molinet, L
    Saut, JC
    Tzvetkov, N
    MATHEMATISCHE ANNALEN, 2002, 324 (02) : 255 - 275
  • [47] On global well-posedness for defocusing cubic wave equation
    Bahouri, Hajer
    Chemin, Jean-Yves
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2006, 2006
  • [48] Global Well-Posedness of the Kirchhoff Equation and Kirchhoff Systems
    Matsuyama, Tokio
    Ruzhansky, Michael
    ANALYTIC METHODS IN INTERDISCIPLINARY APPLICATIONS, 2015, 116 : 81 - 96
  • [49] Global well-posedness for the derivative nonlinear Schrodinger equation
    Bahouri, Hajer
    Perelman, Galina
    INVENTIONES MATHEMATICAE, 2022, 229 (02) : 639 - 688
  • [50] Well-posedness for a class of wave equation with past history and a delay
    Liu, Gongwei
    Zhang, Hongwei
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2016, 67 (01):
12345