Heat Kernels for Non-symmetric Non-local Operators

Abstract

We survey the recent progress in the study of heat kernels for a class of non-symmetric non-local operators. We focus on the existence and sharp two-sided estimates of the heat kernels and their connection to jump diffusions.

arXiv commentSurvey article. To appear as a chapter in "Recent Developments in the Nonlocal Theory" by De Gruyter

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Cited by in corpus (4)

• Heat kernel estimates and their stabilities for symmetric jump processes with general mixed polynomial growths on metric measure spaces
• Uniqueness in law for stable-like processes of variable order
• Heat kernels of non-symmetric jump processes with exponentially decaying jumping kernel
• Heat kernel for non-local operators with variable order