Title:Parabolic gradient regularity in Orlicz spaces and application to a chemotaxis system
Speaker:Michael Winkler(PaderbornUniversity)
Time:Saturday, April 20, 2024, 17:00-18:00
Location：Zoom Meeting，Meeting ID:439 550 2599, Password:0419
Abstract：By means of a variational approach, time-independent a priori estimates for gradients of solutions to linear parabolic equations in some Orlicz spaces near $L^p$ is derived. These are subsequently used to rule out blow-up in a Keller-Segel type parabolic system involving certain diffusion degeneracies of arbitrary strength.
