Dirichlet heat kernel estimates for isotropic Levy processes with Gaussian components in Lipschitz open sets

Fuente: arXiv
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Autor principal: Wang, Jie-Ming
Formato: Preprint
Publicado: 2025
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author Wang, Jie-Ming
author_facet Wang, Jie-Ming
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2503_12128
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dirichlet heat kernel estimates for isotropic Levy processes with Gaussian components in Lipschitz open sets
Wang, Jie-Ming
Probability
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.
title Dirichlet heat kernel estimates for isotropic Levy processes with Gaussian components in Lipschitz open sets
topic Probability
url https://arxiv.org/abs/2503.12128