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20052023
most citedPath independence of the additive functionals for McKean-Vlasov stochastic differential equations with jumps

5 citations · 32 across the 30 of their papers we have counts for

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31 papers

math.PR2023

Stochastic averaging principle and stability for multi-valued McKean-Vlasov stochastic differential equations with jumps

Guangjun Shen, Jie Xiang, Jiang-Lun Wu

In this paper, we consider the stochastic averaging principle and stability for multi-valued McKean-Vlasov stochastic differential equations with jumps. First, under certain averag…

math.PR2023

On distribution dependent stochastic differential equations driven by -Brownian motion

De Sun, Jiang-Lun Wu, Panyu Wu

Distribution dependent stochastic differential equations have been a very hot subject with extensive studies. On the other hand, under the -expectation framework, stochastic dif…

math.PR2023

Distribution dependent BSDEs driven by Gaussian processes

Xiliang Fan, Jiang-Lun Wu

In this paper we are concerned with distribution dependent backward stochastic differential equations (DDBSDEs) driven by Gaussian processes. We first show the existence and unique…

math.PR2021

Global well-posedness and regularity of 3D Burgers equation with multiplicative noise

Zhao Dong, Boling Guo, Jiang-Lun Wu +1

In this paper, we develop low regularity theory for 3D Burgers equation perturbed by a linear multiplicative stochastic force. This method is new and essentially different from the…

math.PR2020

Path independence of the additive functionals for stochastic differential equations driven by G-Lévy processes

Huijie Qiao, Jiang-Lun Wu

In the paper, we consider a type of stochastic differential equations driven by G-Lévy processes. We prove that a kind of their additive functionals has path independence and exten…

math.PR2019★ 5 cited

Path independence of the additive functionals for McKean-Vlasov stochastic differential equations with jumps

Huijie Qiao, Jiang-Lun Wu

In this article, the path independent property of additive functionals of McKean-Vlasov stochastic differential equations with jumps is characterised by nonlinear partial integro-d…