{"ID":23003504,"CreatedAt":"2026-09-17T04:20:54.235930923Z","UpdatedAt":"2026-09-17T04:20:54.235930923Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2609.18809","arxiv_id":"2609.18809","title":"Integral Harnack inequality and expansion of positivity for fractional porous medium equation","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.","short_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.","url_abs":"https://arxiv.org/abs/2609.18809","url_pdf":"https://arxiv.org/pdf/2609.18809v1","authors":"[\"Filippo Maria Cassanello\",\"Filomena De Filippis\",\"Calvin Stanko\"]","published":"2026-09-16T15:20:36Z","proceeding":"math.AP","tasks":"[\"math.AP\"]","methods":"[\"Diffusion Model\"]","has_code":false}