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arXiv · 2503.12128

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

Jie-Ming Wang
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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.

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Jie-Ming Wang. 2025-03-15. Dirichlet heat kernel estimates for isotropic Levy processes with Gaussian components in Lipschitz open sets. https://arxiv.org/abs/2503.12128

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