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math.AP2025
Geometric aspects of the Harnack Inequality for a nonlocal heat equation
Mateusz Dembny, Mikołaj Sierżęga
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 presen…
math.AP2023
A sharp Harnack bound for a nonlocal heat equation
Mateusz Dembny, Mikołaj Sierżęga
A sharp double-sided Harnack bound is derived for positive solutions of a fractional order heat equation.