Er-Yan Hu

activity

20142023

most citedHeat kernels for non-symmetric diffusion operators with jumps

5 citations · 6 across the 4 of their papers we have counts for

collaborators

Showing math.PRShow all

3 papers · 1 filter

math.PR2023

Non-local operators with low singularity kernels: regularity estimates and martingale problem

Eryan Hu, Guohuan Zhao

We consider the linear non-local operator $L$ denoted by \[ \mathcal{L} u (x) = \int_{\mathbb{R}^d} \left(u(x+z)-u(x)\right) a(x,z)J(z)\,d z. \] Here $a (x, z)$ is bounded…

math.PR2023★ 1 cited

Dirichlet heat kernel estimates for rectilinear stable processes

Zhen-Qing Chen, Eryan Hu, Guohuan Zhao

Let $d \geq 2$ , $α \in (0, 2)$ , and $X$ be the rectilinear $α$ -stable process on $R^{d}$ . We first present a geometric characterization of an open subset $D\subset \mathbb{R}^…

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…

Non-local operators with low singularity kernels: regularity estimates and martingale problem

Dirichlet heat kernel estimates for rectilinear stable processes

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

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