Dirichlet Heat Kernel Estimates for Subordinate Brownian Motions with Gaussian Components
Probability
2013-03-28 v1
Abstract
In this paper, we derive explicit sharp two-sided estimates for the Dirichlet heat kernels, in C^{1,1} open sets D in 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.
Keywords
Cite
@article{arxiv.1303.6626,
title = {Dirichlet Heat Kernel Estimates for Subordinate Brownian Motions with Gaussian Components},
author = {Zhen-Qing Chen and Panki Kim and Renming Song},
journal= {arXiv preprint arXiv:1303.6626},
year = {2013}
}
Comments
27 pages. arXiv admin note: text overlap with arXiv:1303.6449