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Strong convergence rate of the averaging principle for a class of slow–fast stochastic evolution equations
Stochastics ( IF 0.9 ) Pub Date : 2022-07-01 , DOI: 10.1080/17442508.2022.2093112 Jie Xu 1 , Qiqi Lian 1 , Jicheng Liu 2
中文翻译:
一类慢-快随机演化方程平均原理的强收敛性
更新日期:2022-07-01
Stochastics ( IF 0.9 ) Pub Date : 2022-07-01 , DOI: 10.1080/17442508.2022.2093112 Jie Xu 1 , Qiqi Lian 1 , Jicheng Liu 2
Affiliation
ABSTRACT
We prove a strong convergence rate of the averaging principle for general two-time-scales stochastic evolution equations driven by cylindrical Wiener processes. In particular, our general result can be used to deal with a large class of quasi-linear stochastic partial differential equations, such as stochastic reaction–diffusion equations, stochastic p-Laplace equations, stochastic porous media equations, and so on.
中文翻译:
一类慢-快随机演化方程平均原理的强收敛性
摘要
我们证明了由圆柱维纳过程驱动的一般双时间尺度随机演化方程的平均原理具有很强的收敛速度。特别是,我们的一般结果可用于处理一大类拟线性随机偏微分方程,例如随机反应-扩散方程、随机 p-Laplace 方程、随机多孔介质方程等。