理学院学术报告
报告题目:Parabolic gradient regularity in Orlicz spaces and application to a chemotaxis system
报告专家:Michael Winkler (德国Paderborn大学)
报告时间:2025年2月26日(周三) 16:30-17:40
报告地点:2B-408
报告摘要: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 certain diffusion degeneracies of arbitrary strength.
专家简介:Michael Winkler,德国Universitat Paderborn教授,主要研究兴趣为非线性偏微分方程,已在《Comm Math Phy》、《Arch Rational Mech Anal》、《J European Math Soc》、《Math. Ann》、《Comm. Partial Differential Equations》、《Proc. Lond. Math. Soc. 》、《Trans Amer Math Society》、《SIAM J Math Anal》、《SIAM J Appl Math》等一流数学期刊上发表学术论文100余篇,论文他引10000余次;目前担任M3AS, JMAA, DCDS, NArwa等多个SCI数学期刊的编委。