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…
Well-posedness and Optimal Regularity of Stochastic Evolution Equations with Multiplicative Noises
Jialin Hong, Zhihui Liu
In this paper, we establish the well-posedness and optimal trajectory regularity for the solution of stochastic evolution equations with generalized Lipschitz-type coefficients dri…
Strong Convergence Rate of Splitting Schemes for Stochastic Nonlinear Schrödinger Equations
Jianbo Cui, Jialin Hong, Zhihui Liu +1
We prove the optimal strong convergence rate of a fully discrete scheme, based on a splitting approach, for a stochastic nonlinear Schrödinger (NLS) equation. The main novelty of o…