Title: Stability of Heat Kernel Estimates for Symmetric Non-Local Dirichlet Forms
Publisher: American Mathematical Society, US
Publication Date: 2021
Language: English
ISBN 10: 1470448637
ISBN 13: 9781470448639
Binding: Paperback
Condition: New
Weight: 195 grams

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Synopsis

"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 -stable-like processes even with 2 when the underlying spaces have walk dimensions larger than 2, which has been one of the major open problems in this area"--

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