Heat kernel estimates for time fractional equations

Zhen Qing Chen; Panki Kim; Takashi Kumagai; Jian Wang

doi:10.1515/forum-2017-0192

Heat kernel estimates for time fractional equations

Zhen Qing Chen, Panki Kim, Takashi Kumagai, Jian Wang^*

^*Corresponding author for this work

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

24 Citations (Scopus)

Abstract

In this paper, we establish existence and uniqueness of weak solutions to general time fractional equations and give their probabilistic representations. We then derive sharp two-sided estimates for fundamental solutions of a family of time fractional equations in metric measure spaces.

Original language	English
Pages (from-to)	1163-1192
Number of pages	30
Journal	Forum Mathematicum
Volume	30
Issue number	5
DOIs	https://doi.org/10.1515/forum-2017-0192
Publication status	Published - 1 Sept 2018
Externally published	Yes

Keywords

Caputo derivative
Dirichlet form
heat kernel estimates
subordinator
time fractional equation

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Chen, Z. Q., Kim, P., Kumagai, T., & Wang, J. (2018). Heat kernel estimates for time fractional equations. Forum Mathematicum, 30(5), 1163-1192. https://doi.org/10.1515/forum-2017-0192

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AU - Kumagai, Takashi

AU - Wang, Jian

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KW - Caputo derivative

KW - Dirichlet form

KW - heat kernel estimates

KW - subordinator

KW - time fractional equation

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Heat kernel estimates for time fractional equations

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Keywords

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