Dirichlet heat kernel estimates for subordinate Brownian motions with Gaussian components
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Publication:2634635
DOI10.1515/CRELLE-2013-0090zbMATH Open1333.60179arXiv1303.6626OpenAlexW2963817066MaRDI QIDQ2634635
Author name not available (Why is that?)
Publication date: 18 February 2016
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1303.6626
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