7 citations · 11 across the 6 of their papers we have counts for
15 papers
Orders of strong and weak averaging principle for multiscale SPDEs driven by -stable process
Xiaobin Sun, Yingchao Xie
In this paper, the averaging principle is studied for a class of multiscale stochastic partial differential equations driven by -stable process, where . Using the tec…
Optimal convergence rates in the averaging principle for slow-fast SPDEs driven by multiplicative noise
Yi Ge, Xiaobin Sun, Yingchao Xie
In this paper, we study a class of slow-fast stochastic partial differential equations with multiplicative Wiener noise. Under some appropriate conditions, we prove the slow compon…
Strong averaging principle for a class of slow-fast singular SPDEs driven by -stable process
Xiaobin Sun, Huilian Xia, Yingchao Xie +1
In this paper, the strong averaging principle is researched for a class of Hölder continuous drift slow-fast SPDEs with -stable process by the Zvonkin's transformation and the c…
Small Time Asymptotics for SPDEs with Locally Monotone Coefficients
Shihu Li, Wei Liu, Yingchao Xie
This work aims to prove the small time large deviation principle (LDP) for a class of stochastic partial differential equations (SPDEs) with locally monotone coefficients in genera…
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…