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

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.

Publication Details

Journal
ArXiv.org
Published
2025-03-15
Primary Topic
Stability and Controllability of Differential Equations
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article

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

ArXiv.org
Stability and Controllability of Differential Equations
article

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

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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.

ArXiv.org
Openalex Percentile: Top 45%
Stability and Controllability of Differential Equations
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Dirichlet heat kernel estimates for isotropic Levy processes with Gaussian components in Lipschitz open sets · ArXiv.org (2025) | TGRS Research Map | TGRS