2014.07.23 17:37
실적년도 | 2014년 |
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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) |
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게재년월 | 년 월 |
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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.