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math.PR2017
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…
math.PR2017★ 5 cited
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…