The Harnack inequality for a class of nonlocal parabolic equations

Agnid Banerjee, Nicola Garofalo, Isidro H. Munive, Duy Minh Nhieu

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

In this paper, we establish a scale invariant Harnack inequality for the fractional powers of parabolic operators ( t - )s, 0 < s < 1, where is the infinitesimal generator of a class of symmetric semigroups. As a by-product, we also obtain a similar result for the nonlocal operators - s. Our focus is on non-Euclidean situations.

Original languageEnglish
Article number2050052
JournalCommunications in Contemporary Mathematics
Volume23
Issue number6
DOIs
StatePublished - Sep 2021

Keywords

  • Harnack inequality
  • Nonlocal
  • extension problem
  • fractional
  • heat operator
  • subelliptic

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