Stability of heat kernel estimates for symmetric non-local Dirichlet forms / Zhen-Qing Chen, Takashi Kumagai, Jian Wang.

Author/creator Chen, Zhen-Qing
Other author Kumagai, Takashi, 1967-
Other author Wang, Jian, 1979-
Format Electronic
Publication InfoProvidence : American Mathematical Society, [2021]
Descriptionv, 89 pages : illustration ; 26 cm
Supplemental ContentFull text available from Ebook Central - Academic Complete
Subjects

SeriesMemoirs of the American Mathematical Society, 0065-9266 ; Volume 271, Number 1330 (seventh of 7 numbers)
Abstract "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"-- Provided by publisher.
Bibliography noteIncludes bibliographical references.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2022007693
ISBN9781470448639 (paperback)
ISBN(epub)

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