3 papers
math.PR2026
Heat kernel for reflected jump diffusion on Ahlfors regular domains
Shiping Cao, Zhen-Qing Chen
We study reflected jump diffusions on Ahlfors regular domains in general metric measure spaces. Under the condition that the Dirichlet form on the ambient space satisfies a capacit…
math.PR2025
Boundary trace theorems for symmetric reflected diffusions
Shiping Cao, Zhen-Qing Chen
Starting with a transient irreducible diffusion process on a locally compact separable metric space , one can construct a canonical symmetric reflected diffusion proc…
math.PR2024
Uniform boundary Harnack principle for non-local operators on metric measure spaces
Shiping Cao, Zhen-Qing Chen
We obtain a uniform boundary Harnack principle (BHP) on any open sets for a large class of non-local operators on metric measure spaces under a jump measure comparability and tail…