Zhen-Qing Chen

activity

20102022

most citedStochastic flows for Lévy processes with Hölder drifts

12 citations · 31 across the 13 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.PR2014★ 3 cited

Hölder estimates for nonlocal-diffusion equations with drifts

Zhen-Qing Chen, Xicheng Zhang

We study a class of nonlocal-diffusion equations with drifts, and derive a priori $Φ$ -Hölder estimate for the solutions by using a purely probabilistic argument, where $Φ$ is an in…

math.PR2014

Heat kernel estimates for $Δ + Δ^{α /2}$ under gradient perturbation

Zhen-Qing Chen, Eryan Hu

For $d \geq 2$ , $α \in (0, 2)$ and $M > 0$ , we consider the gradient perturbation of a family of nonlocal operators ${Δ + a^{α} Δ^{α /2}, a \in (0, M]}$ . We establish the existence and uniq…

math.PR2014

Fractional time stochastic partial differential equations

Zhen-Qing Chen, Kyeong-Hun Kim, Panki Kim

In this paper, we introduce a class of stochastic partial differential equations (SPDEs) with fractional time-derivatives, and study the $L_{2}$ -theory of the equations. This class o…

Hölder estimates for nonlocal-diffusion equations with drifts

Heat kernel estimates for Δ+Δα/2 under gradient perturbation

Fractional time stochastic partial differential equations

Heat kernel estimates for $Δ + Δ^{α /2}$ under gradient perturbation