Dirichlet Heat Kernel Estimates for Subordinate Brownian Motions with Gaussian Components
2014.07.23 17:37
| 실적년도 | 2014년 |
|---|---|
| 논문구분 | 국외 |
| 총저자 | Zhen-Qing Chen, Pan Ki Kim, Renming Song |
| 학술지명 | To appear in Journal fur die reine und angewandte Mathematik (Crelle's Journal) |
| 권(Vol.) | |
| 호(No.) | |
| 게재년월 | 년 월 |
| Impact Factor | |
| SCI 등재 | |
| 비고 |
In this paper, we derive explicit sharp two-sided estimates for the Dirichlet heat kernels, in $C^{1,1}$ open sets $D$ in ${\Bbb R}^d$ , of a large class of subordinate Brownian motions with Gaussian components. When $D$ is bounded, our sharp two-sided Dirichlet heat kernel estimates hold for all $t > 0$. Integrating the heat kernel estimates with respect to the time variable $t$ , we obtain sharp two-sided estimates for the Green functions, in bounded $C^{1,1}$ open sets, of such subordinate Brownian motions with Gaussian components.
