RANDOM ATTRACTORS FOR STOCHASTIC DELAY WAVE EQUATIONS ON Rn WITH LINEAR MEMORY AND NONLINEAR DAMPING

被引：0
作者：
Wang, Jingyu [1 ,2 ]
Wang, Yejuan [1 ]
Yang, Lin [1 ]
Caraballo, Tomas [3 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Gansu Key Lab Appl Math & Complex Syst, Lanzhou 730000, Peoples R China
[2] Shanxi Univ Finance & Econ, Coll Appl Math, Taiyuan 030006, Peoples R China
[3] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, Fac Matemat, C Tarfia S-N, Seville 41012, Spain
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2022年 / 15卷 / 10期
关键词：
Random attractor; stochastic delay wave equation; linear memory; nonlinear; GLOBAL ATTRACTORS; ASYMPTOTIC-BEHAVIOR; UNIFORM ATTRACTORS; OSCILLATION; STABILITY;
D O I：
10.3934/dcdss.2021141
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A non-autonomous stochastic delay wave equation with linear memory and nonlinear damping driven by additive white noise is considered on the unbounded domain R-n. We establish the existence and uniqueness of a random attractor A that is compact in C([-h, 0]; H-1(R-n)) x C([-h, 0]; L-2(R-n)) x L-mu(2)(R+; H-1(R-n)) with 1 <= n <= 3.
引用
收藏
页码：3025 / 3057
页数：33
相关论文
共 43 条
  • [1] [Anonymous], 2002, APPL MATH SCI
  • [2] Arnold L., 1998, SPRINGER MONOGRAPHS
  • [3] A DAMPED HYPERBOLIC EQUATION WITH CRITICAL EXPONENT
    ARRIETA, J
    CARVALHO, AN
    HALE, JK
    [J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1992, 17 (5-6) : 841 - 866
  • [4] Babin A. V., 1992, ATTRACTORS EVOLUTION, V25
  • [5] Ball JM, 2004, DISCRETE CONT DYN-A, V10, P31
  • [6] Borini S, 1999, ASYMPTOTIC ANAL, V20, P263
  • [7] A non-autonomous strongly damped wave equation: Existence and continuity of the pullback attractor
    Caraballo, Tomas
    Carvalho, Alexandre N.
    Langa, Jose A.
    Rivero, Felipe
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (06) : 2272 - 2283
  • [8] Chepyzhov V., 2002, ATTRACTORS EQUATIONS, V49
  • [9] A MODEL OF VISCOELASTICITY WITH TIME-DEPENDENT MEMORY KERNELS
    Conti, Monica
    Danese, Valeria
    Giorgi, Claudio
    Pata, Vittorino
    [J]. AMERICAN JOURNAL OF MATHEMATICS, 2018, 140 (02) : 349 - 389
  • [10] Random attractors
    Crauel H.
    Debussche A.
    Flandoli F.
    [J]. Journal of Dynamics and Differential Equations, 1997, 9 (2) : 307 - 341
12345