PERIODIC AND INVARIANT MEASURES FOR STOCHASTIC WAVE EQUATIONS

被引：0
|
作者：
Kim, Jong Uhn [1 ]
机构：
[1] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年
关键词：
Wave equation; Brownian motion; periodic measure; invariant measure; probability distribution; tightness;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish the existence of periodic and invariant measures for a semilinear wave equation with random noise. These are counterparts of time-periodic and stationary solutions of a deterministic equation. The key element in our analysis is to prove that the family of probability distributions of a solution is tight.
引用
收藏
页数：30
相关论文
共 50 条
  • [1] Invariant measures for stochastic nonlinear beam and wave equations
    Brzezniak, Zdzislaw
    Ondrejat, Martin
    Seidler, Jan
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 260 (05) : 4157 - 4179
  • [2] Invariant Measures for Stochastic Differential Equations
    Hong, Jialin
    Wang, Xu
    INVARIANT MEASURES FOR STOCHASTIC NONLINEAR SCHRODINGER EQUATIONS: NUMERICAL APPROXIMATIONS AND SYMPLECTIC STRUCTURES, 2019, 2251 : 31 - 61
  • [3] Periodic measures of fractional stochastic discrete wave equations with nonlinear noise
    Li, Xintao
    She, Lianbing
    Yao, Jingjing
    DEMONSTRATIO MATHEMATICA, 2024, 57 (01)
  • [4] Invariant manifolds for stochastic wave equations
    Lu, Kening
    Schmalfuss, Bjoern
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 236 (02) : 460 - 492
  • [5] Invariant Measures for Stochastic Nonlinear Schrodinger Equations
    Hong, Jialin
    Wang, Xu
    INVARIANT MEASURES FOR STOCHASTIC NONLINEAR SCHRODINGER EQUATIONS: NUMERICAL APPROXIMATIONS AND SYMPLECTIC STRUCTURES, 2019, 2251 : 63 - 79
  • [6] Invariant measures for stochastic functional differential equations
    Butkovsky, Oleg
    Scheutzow, Michael
    ELECTRONIC JOURNAL OF PROBABILITY, 2017, 22
  • [7] Periodic measures of impulsive stochastic differential equations
    Li, Dingshi
    Lin, Yusen
    CHAOS SOLITONS & FRACTALS, 2021, 148
  • [8] Convergence of invariant measures for singular stochastic diffusion equations
    Ciotir, Ioana
    Toelle, Jonas M.
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2012, 122 (04) : 1998 - 2017
  • [9] Moment estimates for invariant measures of stochastic Burgers equations
    Yu Shi
    Bin Liu
    Advances in Difference Equations, 2020
  • [10] CONVERGENCE OF INVARIANT MEASURES FOR MULTIVALUED STOCHASTIC DIFFERENTIAL EQUATIONS
    Guan, Yue
    Zhang, Hun
    ACTA MATHEMATICA SCIENTIA, 2016, 36 (02) : 487 - 498
12345