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 journalArticlepeer-review

16 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 languageEnglish
Pages (from-to)1163-1192
Number of pages30
JournalForum Mathematicum
Volume30
Issue number5
DOIs
Publication statusPublished - 2018 Sep 1
Externally publishedYes

Keywords

  • Caputo derivative
  • Dirichlet form
  • heat kernel estimates
  • subordinator
  • time fractional equation

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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