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Stability of heat kernel estimates for symmetric non-local Dirichlet forms
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Stability of heat kernel estimates for symmetric non-local Dirichlet forms
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eBook
Stability of heat kernel estimates for symmetric non-local Dirichlet forms
2021
Overview
In this paper, we consider symmetric jump processes of mixed-type on metric measure spaces under general volume doubling condition,
and establish stability of two-sided heat kernel estimates and heat kernel upper bounds. We obtain their stable equivalent
characterizations in terms of the jumping kernels, variants of cut-off Sobolev inequalities, and the Faber-Krahn inequalities. In
particular, we establish stability of heat kernel estimates for
Publisher
American Mathematical Society
Subject
ISBN
9781470448639, 1470448637
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