R638, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 638室)
Estimates of Heat Kernel for Symmetric Markov Processes
Kyung-youn Kim (Academia Sinica)
Abstract:
We consider large classes of symmetric pure jump Markov processes.
The first processes are dominated by isotropic unimodal Lévy processes with weak scaling conditions, and we establish sharp two-sided heat kernel estimates for these in
![](https://chart.googleapis.com/chart?cht=tx&chl=%24C%5E%7B1%2C1%7D%24&chf=bg,s,333333&chco=ffffff)
open sets. The second processes are anisotropic Markov processes, and we establish sharp two-sided heat kernel estimates for these in
![](https://chart.googleapis.com/chart?cht=tx&chl=%24R%5Ed%24&chf=bg,s,333333&chco=ffffff)
.