14 citations · 21 across the 10 of their papers we have counts for
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Averaging principle for slow-fast stochastic partial differential equations with Hölder continuous coefficients
Xiaobin Sun, Longjie Xie, Yingchao Xie
By using the technique of the Zvonkin's transformation and the classical Khasminkii's time discretization method, we prove the averaging principle for slow-fast stochastic partial…
Strong convergence order for slow-fast McKean-Vlasov stochastic differential equations
Michael Röckner, Xiaobin Sun, Yingchao Xie
In this paper, we consider the averaging principle for a class of McKean-Vlasov stochastic differential equations with slow and fast time-scales. Under some proper assumptions on t…
Strong and weak convergence in the averaging principle for SDEs with Hölder coefficients
Michael Röckner, Xiaobin Sun, Longjie Xie
Using Zvonkin's transform and the Poisson equation in with a parameter, we prove the averaging principle for stochastic differential equations with time-dependent Hölder cont…
Strong averaging principle for slow-fast stochastic partial differential equations with locally monotone coefficients
Wei Liu, Michael Röckner, Xiaobin Sun +1
This paper is devoted to proving the strong averaging principle for slow-fast stochastic partial differential equations with locally monotone coefficients, where the slow component…