A sharp Harnack bound for a nonlocal heat equation

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arxiv 2303.08186 v1 pith:PGPKKYCD submitted 2023-03-14 math.AP

Mateusz Dembny , Miko{l}aj Sierżęga This is my paper · ORCID

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keywords boundequationharnackheatsharpderiveddouble-sidedfractional

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A sharp double-sided Harnack bound is derived for positive solutions of a fractional order heat equation.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Nonnegative solutions to nonlocal parabolic equations
math.AP 2025-05 conditional novelty 8.0 of 10

Nonnegative solutions to nonlocal parabolic equations with bounded measurable coefficients are represented exactly by a fundamental solution, with sharp two-sided bounds and new Harnack inequalities.
Geometric aspects of the Harnack Inequality for a nonlocal heat equation
math.AP 2025-06 reject novelty 2.0 of 10

The central formula is a tautological rearrangement of the Poisson kernel definition, and the claimed higher-dimensional Harnack generalization is missing.