68 citations · 316 across the 16 of their papers we have counts for
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Wong--Zakai Approximations of Stochastic Allen-Cahn Equation
Zhihui Liu, Zhonghua Qiao
We establish a unconditional and optimal strong convergence rate of Wong--Zakai type approximations in Banach space norm for a parabolic stochastic partial differential equation wi…
Optimal Regularity of Stochastic Evolution Equations in M-type 2 Banach Spaces
Jialin Hong, Chuying Huang, Zhihui Liu
In this paper, we prove the well-posedness and op- timal trajectory regularity for the solution of stochastic evolution equations driven by general multiplicative noises in marting…
Strong Convergence Rate of Finite Difference Approximations for Stochastic Cubic Schrödinger Equations
Jianbo Cui, Jialin Hong, Zhihui Liu
In this paper, we derive a strong convergence rate of spatial finite difference approximations for both focusing and defocusing stochastic cubic Schrödinger equations driven by a m…
Optimal Hölder Continuity and Hitting Probabilities for SPDEs with Rough Fractional Noises
Jialin Hong, Zhihui Liu, Derui Sheng
We investigate the optimal Hölder continuity and hitting probabilities for systems of stochastic heat equations and stochastic wave equations driven by an additive fractional Brown…