The central formula is a tautological rearrangement of the Poisson kernel definition, and the claimed higher-dimensional Harnack generalization is missing.
A sharp Harnack bound for a nonlocal heat equation
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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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Geometric aspects of the Harnack Inequality for a nonlocal heat equation
The central formula is a tautological rearrangement of the Poisson kernel definition, and the claimed higher-dimensional Harnack generalization is missing.