Geometric aspects of the Harnack Inequality for a nonlocal heat equation

Fuente: arXiv
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Autores principales: Dembny, Mateusz, Sierżęga, Mikołaj
Formato: Preprint
Publicado: 2025
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author Dembny, Mateusz
Sierżęga, Mikołaj
author_facet Dembny, Mateusz
Sierżęga, Mikołaj
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2506_08187
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Geometric aspects of the Harnack Inequality for a nonlocal heat equation
Dembny, Mateusz
Sierżęga, Mikołaj
Analysis of PDEs
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.
title Geometric aspects of the Harnack Inequality for a nonlocal heat equation
topic Analysis of PDEs
url https://arxiv.org/abs/2506.08187