HAN Yinghao,ZHANG Qing,WANG Hongquan.Random attrators for a class of abstract stochastic evolution equations[J].Journal of Yanbian University,2014,40(03):199-202.
一类抽象随机发展方程的随机吸引子
- Title:
- Random attrators for a class of abstract stochastic evolution equations
- 分类号:
- O211.63; O175.29
- 文献标志码:
- A
- 摘要:
- 在可分希尔伯特空间H上研究了抽象随机发展方程dXt=A(Xt)d t-v Xtd t+σ XtdNt的长时间动力行为,其中算子A满足标准单调性条件和强迫性条件,σ>0, Nt是标准实值Wiener过程.利用近似逼近方法证明了上述方程的随机吸引子的存在性,此结果可应用于随机非线性反应扩散方程、随机p -拉普拉斯方程和随机多孔介质方程等各类型的SPDE上.
- Abstract:
- We consider the longtime dynamic behavior of the abstract stochastic evolution equations dXt=A(Xt)d t-v Xtd t+σ XtdNt in a separable Hilbert space H, where A is an operator satisfying the standard monotonicity and coercivity conditions, σ>0, Nt is a standard real valued Wiener process. The existence of random attractor for the above equations is proved by using the approximation scheme. The result can beapplicable to the various types of SPDE, such as the stochastic nonlinear reaction-diffusion equations, the stochastic p -Laplace equations and the stochastic porous media equations.
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相似文献/References:
[1]杜萍,杨玉彤,刘爽,等.随机半线性强衰减波动方程在局部一致空间上的吸引子[J].延边大学学报(自然科学版),2018,44(01):7.
DU Ping,YANG Yutong,LIU Shuang,et al.Attractor for stochastic semilinear strongly damped waveequations in locally uniform spaces[J].Journal of Yanbian University,2018,44(03):7.
备注/Memo
收稿日期: 2014-05-20作者简介: 韩英豪(1963—),男,理学博士,副教授,研究方向为无穷维动力系统.