14 citations · 21 across the 10 of their papers we have counts for
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math.PR2021
Well-posedness and averaging principle of McKean-Vlasov SPDEs driven by cylindrical -stable process
Mengyuan Kong, Yinghui Shi, Xiaobin Sun
In this paper, we first study the well-posedness of a class of McKean-Vlasov stochastic partial differential equations driven by cylindrical -stable process, where .…
math.PR2021
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…
math.PR2021
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…