Dirichlet heat kernel estimates for subordinate Brownian motions with Gaussian components

Zhen Qing Chen, Panki Kim, Renming Song

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we derive explicit sharp two-sided estimates for the Dirichlet heat kernels, in C1,1 open sets D in 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 C1,1 open sets, of such subordinate Brownian motions with Gaussian components.

Original languageEnglish (US)
Pages (from-to)111-138
Number of pages28
JournalJournal fur die Reine und Angewandte Mathematik
Volume2016
Issue number711
DOIs
StatePublished - Feb 1 2016

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Dirichlet heat kernel estimates for subordinate Brownian motions with Gaussian components'. Together they form a unique fingerprint.

Cite this