2 papers
math.DS2021
Mean-square invariant manifolds for ill-posed stochastic evolution equations driven by nonlinear noise
Zonghao Li, Caibin Zeng, Jianhua Huang
This paper discerns the invariant manifold of a class of ill-posed stochastic evolution equations driven by a nonlinear multiplicative noise. To be more precise, we establish the e…
math.PR2019
Stochastic differential equations with noise perturbations and Wong-Zakai approximation of fractional Brownian motion
Lauri Viitasaari, Caibin Zeng
In this article we study effects that small perturbations in the noise have to the solution of differential equations driven by Hölder continuous functions of order . As…