The De Giorgi-Nash-Moser theory for kinetic equations with nonlocal diffusions

par Gianpiero Palatucci (Università di Parma)

mercredi 21 mai 2025, 14:00 → 16:00 Europe/Paris

I will present some recent results in the spirit of the De Giorgi-Nash-Moser theory for a wide class of kinetic integral equations, where the diffusion term in velocity is an integro-differential operator having nonnegative kernel of fractional order with merely measurable coefficients. I will mainly focus on boundedness estimates and Harnack inequalities. The talk is based on a series of papers by Anceschi, Kassmann, Piccinini, Weidner and myself.