The Harnack inequality for a class of nonlocal parabolic equations

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

doi:10.1142/S0219199720500509

The Harnack inequality for a class of nonlocal parabolic equations

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

Department of Mathematics

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

5 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 language	English
Article number	2050052
Journal	Communications in Contemporary Mathematics
Volume	23
Issue number	6
DOIs	https://doi.org/10.1142/S0219199720500509
State	Published - Sep 2021

Keywords

Harnack inequality
Nonlocal
extension problem
fractional
heat operator
subelliptic

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10.1142/S0219199720500509

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AU - Garofalo, Nicola

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AU - Nhieu, Duy Minh

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KW - Nonlocal

KW - extension problem

KW - fractional

KW - heat operator

KW - subelliptic

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The Harnack inequality for a class of nonlocal parabolic equations

Abstract

Keywords

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