4 citations · 12 across the 6 of their papers we have counts for
6 papers
Singular kinetic equations and applications
Zimo Hao, Xicheng Zhang, Rongchan Zhu +1
In this paper we study singular kinetic equations on by the paracontrolled distribution method introduced in \cite{GIP15}. We first develop paracontrolled calculu…
Euler scheme for density dependent stochastic differential equations
Zimo Hao, Michael Röckner, Xicheng Zhang
In this paper we show the existence and uniqueness for a class of density dependent SDEs with bounded measurable drift, where the existence part is based on Euler's approximation f…
Schauder's estimates for nonlocal equations with singular Lévy measures
Zimo Hao, Zhen Wang, Mingyan Wu
In this paper, we establish Schauder's estimates for the following non-local equations in \mR^d : where $α\in(…
Hölder regularity and gradient estimates Hölder regularity and gradient estimates for SDEs driven by cylindrical -stable processes
Zhen-Qing Chen, Zimo Hao, Xicheng Zhang
We establish Hölder regularity and gradient estimates for the transition semigroup of the solutions to the following SDE: $$ {\rm d} X_t=σ(t, X_{t-}){\rm d} Z_t+b (t, X_t){\rm d} t…
Schauder's estimate for nonlocal kinetic equations and its applications
Zimo Hao, Mingyan Wu, Xicheng Zhang
In this paper we develop a new method based on Littlewood-Paley's decomposition and heat kernel estimates of integral form, to establish Schauder's estimate for the following degen…
Hörmander's hypoelliptic theorem for nonlocal operators
Zimo Hao, Xuhui Peng, Xicheng Zhang
In this paper we show the Hörmander hypoelliptic theorem for nonlocal operators by a purely probabilistic method: the Malliavin calculus. Roughly speaking, under general Hörmander'…