On the fractional heat semigroup and product estimates in Besov spaces and applications in theoretical analysis of the fractional Keller-Segel system

Jhean E. Pérez-López, Diego A. Rueda-Gómez, Élder J. Villamizar-Roa

This paper is concerned with the fractional Keller-Segel system in the temporal and spatial variables. We consider fractional dissipation for the physical variables including a fra…