3 papers
math.AP2025
Finite-time blow-up for the three dimensional axially symmetric Keller-Segel system
Federico Buseghin, Juan Dávila, Manuel del Pino +1
We construct axially symmetric finite-time blow-up solutions to the three-dimensional Keller-Segel system. By adapting gluing techniques, we derive a precise asymptotic expansion f…
math.AP2020
On the limiting behaviour of some nonlocal seminorms: a new phenomenon
Federico Buseghin, Nicola Garofalo, Giulio Tralli
In this note we study the behaviour as of some semigroup based Besov seminorms associated with a non-symmetric and hypoelliptic diffusion with a drift. Our results gener…
math.AP2019
A chain rule for a class of evolutive nonlocal hypoelliptic equations
Federico Buseghin, Nicola Garofalo
We prove a chain rule of local type for a class of fractional hypoelliptic equations of Kolmogorov-Fokker-Planck type. We introduce a semigroup based notion of nonlocal \emph{carré…