报告人:蒋仁进教授(天津大学)
报告题目:On Korn's inequality, Babuska-Aziz inequality and related topics
主持人:董宝华博士
报告时间:2018年10月26日 16:30-17:30
报告地点:尚贤楼706
报告摘要:In this talk, I will present some recent study on the Korn inequality, Babuska-Aziz inequality and their geometric counterparts. Let $\Omega\subset \mathbb{R}^2$ be a bounded finitely connected domain. We show that, the Korn inequality, and the Babuska inequality are equivalent to the domain being a John domain.
Our result provides a geometric characterization of the Korn inequality, and gives positive answers to a question raised by [Costabel \& Dauge, Arch. Ration. Mech. Anal. 217 (2015), 873-898] and a question raised by [Russ, Vietnam J. Math. 41 (2013), 369-381]. For the plane, our result is best possible. We also present some further studies including a conformal version of Korn's inequality on irregular domains.
报告人简介:蒋仁进,天津大学教授,主要研究调和分析及其在度量几何与微分方程中的应用,在Comm. Pure Appl. Math., J. Math. Pures Appl., Math. Ann.等一流杂志上发表文章30余篇。
数学与统计学院
2018年10月23日