Dirichlet heat kernel estimates for isotropic Levy processes with Gaussian components in Lipschitz open sets
Probability
2025-03-18 v1
Abstract
In this paper, the two-sided Dirichlet heat kernel estimates are obtained for a class of discontinuous isotropic Levy processes with Gaussian components in Lipschitz open sets. Furthermore, the necessary and sufficient conditions for the Varopoulos-type Dirichlet heat kernel estimates holding for such processes in Lipschitz open sets are derived.
Keywords
Cite
@article{arxiv.2503.12128,
title = {Dirichlet heat kernel estimates for isotropic Levy processes with Gaussian components in Lipschitz open sets},
author = {Jie-Ming Wang},
journal= {arXiv preprint arXiv:2503.12128},
year = {2025}
}