Free White Noise Stochastic Equation

被引:0
|
作者
Accardi, Luigi [1 ]
Ayed, Wided [2 ]
Ouerdiane, Habib [3 ]
机构
[1] Univ Roma Tor Vergata, Ctr Vito Volterra, Via Columbia 2, I-00133 Rome, Italy
[2] Inst Peparatoire Etudes Ingn, Dept Math, El Merezka 8000, Tunisia
[3] Univ Tunis El Manar, Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia
关键词
D O I
10.1142/9789814295437_0011
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Some estimates of scalar type on the free white noise stochastic integrals are given. These are used to prove an analogue regularity result for solutions of the free white noise stochastic equations with bounded coefficients. Furthermore, normal Form of such equation is given.
引用
收藏
页码:138 / +
页数:3
相关论文
共 50 条
  • [31] Stochastic Landau?Ginzburg equation with white-noise boundary conditions of Robin type
    Kaikina, E., I
    NONLINEARITY, 2019, 32 (12) : 4967 - 4995
  • [32] Quadratic covariations for the solution to a stochastic heat equation with space-time white noise
    Sun, Xichao
    Yan, Litan
    Yu, Xianye
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [33] Quadratic covariations for the solution to a stochastic heat equation with space-time white noise
    Xichao Sun
    Litan Yan
    Xianye Yu
    Advances in Difference Equations, 2020
  • [34] Impact of White Noise on the Exact Solutions of the Stochastic Riemann Wave Equation in Quantum Mechanics
    Mohammed, Wael W.
    Cesarano, Clemente
    Rizk, Doaa
    Aly, Elkhateeb S.
    El-Morshedy, Mahmoud
    SYMMETRY-BASEL, 2023, 15 (11):
  • [35] Dispersive Optical Solitons for Stochastic Fokas-Lenells Equation with Multiplicative White Noise
    Zayed, Elsayed M. E.
    El-Horbaty, Mahmoud
    Alngar, Mohamed E. M.
    El-Shater, Mona
    ENG, 2022, 3 (04): : 523 - 540
  • [36] Onsager relation with the "slow" degrees of the field in the white noise equation based on stochastic limit
    Accardi, L
    Imafuku, K
    Lu, YG
    FUNDAMENTAL ASPECTS OF QUANTUM PHYSICS, 2003, 17 : 1 - 23
  • [37] Stochastic complex Ginzburg-Landau equation with space-time white noise
    Hoshino, Masato
    Inahama, Yuzuru
    Naganuma, Nobuaki
    ELECTRONIC JOURNAL OF PROBABILITY, 2017, 22
  • [38] Ergodicity of stochastic damped higher-order KdV equation driven by white noise
    Xu, Pengfei
    Wu, Shang
    Huang, Jianhua
    APPLIED MATHEMATICS LETTERS, 2020, 110
  • [40] Entropic Stochastic Resonance with Dichotomous Noise and White Noise
    Guo, Feng
    Cheng, Xiao-feng
    Cao, Wen
    CHINESE JOURNAL OF PHYSICS, 2011, 49 (06) : 1224 - 1231