On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces

Zhen Qing Chen; Panki Kim; Takashi Kumagai

doi:10.1007/s10114-009-8576-7

On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces

Zhen Qing Chen^*, Panki Kim, Takashi Kumagai

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

44 Citations (Scopus)

Abstract

In this paper, we discuss necessary and sufficient conditions on jumping kernels for a class of jump-type Markov processes on metric measure spaces to have scale-invariant finite range parabolic Harnack inequality.

Original language	English
Pages (from-to)	1067-1086
Number of pages	20
Journal	Acta Mathematica Sinica, English Series
Volume	25
Issue number	7
DOIs	https://doi.org/10.1007/s10114-009-8576-7
Publication status	Published - Jul 2009

Keywords

Dirichlet form
Heat kernel estimates
Jump process
Jumping kernel
Parabolic Harnack inequality

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10.1007/s10114-009-8576-7

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Chen, Z. Q., Kim, P., & Kumagai, T. (2009). On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces. Acta Mathematica Sinica, English Series, 25(7), 1067-1086. https://doi.org/10.1007/s10114-009-8576-7

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KW - Parabolic Harnack inequality

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On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces

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Keywords

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