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Stability of heat kernel estimates for symmetric non-local Dirichlet forms / Zhen-Qing Chen, Takashi Kumagai, Jian Wang.
Author
Chen, Zhen-Qing
[Browse]
Format
Book
Language
English
Published/​Created
Providence : American Mathematical Society, [2022]
Description
1 online resource.
Details
Subject(s)
Kernel functions
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Author
Kumagai, Takashi, 1967-
[Browse]
Wang, Jian, 1979-
[Browse]
Series
Memoirs of the American Mathematical Society, 1947-6221 ; v. 1330
Summary note
"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.
Bibliographic references
Includes bibliographical references.
Reproduction note
Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2021
Source of description
Description based on print version record.
ISBN
9781470466381 (online)
Statement on responsible collection description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
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