Parabolic gradient regularity in Orlicz spaces and application to a chemotaxis system

报告题目:Parabolic gradient regularity in Orlicz spaces and application to a chemotaxis system

报告人: Prof. Michael Winkler

时间：2月19日（星期三），14：20-15：00

地点：明德楼B区201-1

摘要：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 certaindiffusion degeneracies of arbitrary strength.