Hypercontractivity for space-time white noise driven SPDEs with reflection

被引：3
|
作者：
Xie, Bin [1 ]
机构：
[1] Shinshu Univ, Fac Sci, Dept Math Sci, 3-1-1 Asahi, Matsumoto, Nagano 3908621, Japan
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 266卷 / 09期
基金：
日本学术振兴会;
关键词：
Random obstacle problem; Hypercontractivity; Harnack inequality with power; Reflected SPDEs; Exponential convergence; HARNACK INEQUALITY;
D O I：
10.1016/j.jde.2018.10.022
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The hypercontractive property of the Markov semigroup associated with the reflected stochastic partial differential equation driven by the additive space-time white noise is mainly investigated. The main tool for its proof is the general criterion presented recently by F.-Y. Wang [29]. In particular, we obtain the hyperboundedness and the compactness of the Markov semigroup, the exponential convergences of the entropy, the exponential convergences of the Markov semigroup to its unique invariant measure in both L-2 and the total variation norm. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：5254 / 5277
页数：24
相关论文
共 50 条
  • [41] Stochastic Burgers equation with Levy space-time white noise
    Truman, A
    Wu, JL
    PROBABILISTIC METHODS IN FLUIDS, PROCEEDINGS, 2003, : 298 - 323
  • [42] Porous media equations with multiplicative space-time white noise
    Dareiotis, K.
    Gerencser, M.
    Gess, B.
    ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2021, 57 (04): : 2354 - 2371
  • [43] Spatial variation for the solution to the stochastic linear wave equation driven by additive space-time white noise
    Khalil, M.
    Tudor, C. A.
    Zili, M.
    STOCHASTICS AND DYNAMICS, 2018, 18 (05)
  • [44] Approximating 3D Navier-Stokes equations driven by space-time white noise
    Zhu, Rongchan
    Zhu, Xiangchan
    INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2017, 20 (04)
  • [45] WELL POSEDNESS FOR THE STOCHASTIC CAHN-HILLIARD EQUATION DRIVEN BY LEVY SPACE-TIME WHITE NOISE
    Guo, Boling
    Wang, Guolian
    Wang, Shu
    DIFFERENTIAL AND INTEGRAL EQUATIONS, 2009, 22 (5-6) : 543 - 560
  • [46] Stability analysis for a class of delayed reaction diffusion complex networks driven by space-time white noise
    Zhao Birong
    Deng Feiqi
    Song Yanan
    Xu Ronghua
    PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 1820 - 1825
  • [47] Space-time fractional Anderson model driven by Gaussian noise rough in space
    Liu, Junfeng
    Wang, Zhi
    Wang, Zengwu
    STOCHASTICS AND DYNAMICS, 2023, 23 (01)
  • [48] FINITE ELEMENT APPROXIMATIONS FOR A LINEAR CAHN-HILLIARD-COOK EQUATION DRIVEN BY THE SPACE DERIVATIVE OF A SPACE-TIME WHITE NOISE
    Kossioris, Georgios T.
    Zouraris, Georgios E.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2013, 18 (07): : 1845 - 1872
  • [49] An analysis of the L1 scheme for stochastic subdiffusion problem driven by integrated space-time white noise
    Wu, Xiaolei
    Yan, Yuyuan
    Yan, Yubin
    APPLIED NUMERICAL MATHEMATICS, 2020, 157 : 69 - 87
  • [50] Analysis of a stochastic reaction-diffusion Alzheimer?s disease system driven by space-time white noise
    Hu, Jing
    Meyer-Baese, Anke
    Zhang, Qimin
    APPLIED MATHEMATICS LETTERS, 2022, 134
12345