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arXiv · 2609.18809

Integral Harnack inequality and expansion of positivity for fractional porous medium equation

Filippo Maria Cassanello·Filomena De Filippis·Calvin Stanko
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Abstract

We establish an integral Harnack inequality and expansion of positivity for nonnegative weak solutions to fractional porous medium-type equations in the fast diffusion regime, under optimal tail assumptions.

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Filippo Maria Cassanello, Filomena De Filippis, Calvin Stanko. 2026-09-16. Integral Harnack inequality and expansion of positivity for fractional porous medium equation. https://arxiv.org/abs/2609.18809

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