3 papers
math.PR2024
Delay rough evolution equations
Shiduo Qu, Hongjun Gao
In this paper, we accomplish the existence and stability of the solution of a class of delay rough partial differential equations (DRPDEs). Moreover, we prove that the solution of…
math.PR2023
The high-order approximation of SPDEs with multiplicative noise via amplitude equations
Shiduo Qu, Hongjun Gao
The emphasis of this paper is to investigate the high-order approximation of a class of SPDEs with cubic nonlinearity driven by multiplicative noise with the help of the amplitude…
math.AP2021
Amplitude equations for SPDEs with quadratic nonlinearities forced by additive and multiplicative noise
Shiduo Qu, Wenlei Li, Shaoyun Shi
This article deals with stochastic partial differential equations with quadratic nonlinearities perturbed by small additive and multiplicative noise. We present the approximate sol…