Work

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

Year: 2026

Type: preprint

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

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.18809

Authors: Cassanello, Filippo Maria, De Filippis, Filomena, Stanko, Calvin

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Austrian Science Fund

Awards: Gradient regularity in nonlinear nonlocal PDEs, G8590477180

OpenAlex ID: W7213508496

Cites: 4

Cited by: 3

Related to: 10