演講公告
新聞標題: ( 2022-03-16 )
演講主題:Dirichlet Heat kernel estimates for Markov processes with singular kernels
主講人:金璟允教授 (中興大學應數系)
演講日期:2022年4月19日(星期二) 14:00 – 15:00
演講地點:(光復校區) 科學一館223室
摘要內容:
Abstract
We discuss recent researches on the heat kernel estimates for non-local operators. The heat kernel is known as the transition density of Markov processes corresponding to the non-local operators in probability theory.
We consider the anisotropic Markov processes $Z:=(Z_1, \ldots, Z_d)$ where each coordinates $Z_i$ are independent $1$--dimensional Markov processes and their characteristic function satisfies the weakly scaling condition.
We obtain the heat kernel estimates of $Z$ on $\mathbb R^d$ and also certain open set $D\subset \mathbb R^d$.相關檔案:演講1110419.jpg
