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arXiv · 2506.08187

Geometric aspects of the Harnack Inequality for a nonlocal heat equation

Mateusz Dembny·Mikołaj Sierżęga
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Abstract

We establish a connection between a sharp double-sided Harnack bound for positive solutions of a fractional heat equation and the circular geometry in higher dimensions. The present work extends and generalizes the results obtained in the preceding paper.

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Mateusz Dembny, Mikołaj Sierżęga. 2025-06-09. Geometric aspects of the Harnack Inequality for a nonlocal heat equation. https://arxiv.org/abs/2506.08187

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