Tuesday, January 21, 2025 - 10:15 in V3-204
Dirichlet heat kernel estimates for rectilinear stable processes
A talk in the Oberseminar Geometric Analysis series by
Eryan Hu from Tianjin University
| Abstract: |
Let $d \ge 2$, $\alpha \in (0,2)$, and $X$ be the rectilinear $\alpha$-stable process on $\mathbb{R}^d$. We first present a geometric characterization of open subset $D\subset \mathbb{R}^d$ so that the part process $X^D$ of $X$ in $D$ is irreducible. We then study the properties of the transition density functions of $X^D$, including the strict positivity property as well as their sharp two-sided bounds in $C^{1,1}$ domains in $\mathbb{R}^d$. Our bounds are shown to be sharp for a class of $C^{1,1}$ domains.
Within the CRC this talk is associated to the project(s): A3 |
Back
