讲座简介：

Hardy-Rellich type inequalities have broad applications in different fields of analysis and geometry, they have been studied extensively since Hardy's seminal works one century ago. In this talk, we will revise firstly various first order Hardy inequalities, and point out that most of them can be obtained by a simple and unified equality. This approach permits us to get some new or improved first order Hardy inequalities. We will explain also our approach to obtain higher order Hardy-Rellich type equalities which imply and improve many classical Hardy-Rellich inequalities. This is a joint work with Xia Huang at ECNU.

讲座人简介：

叶东，现任华东师范大学数学科学学院教授，博士生导师。于1990年获得武汉大学学士学位，于1991年获得巴黎大学理学硕士学位，1994年在法国卡尚高等师范学院获得博士学位，后长期在法国大学任职，回国前是法国洛林大学的一级教授。于2018年9月全职回到华东师范大学工作。主要研究领域是非线性偏微分方程和几何分析。学术成果发表于 Invent. Math、Adv. Math、Math. Ann.、J. Func. Anal.、Ann. Inst. H. Poincaré Anal. Non Linéaire、CVPDE、 Math. Z.、 Proc. Roy. Soc. Edinburgh Sect. A、JDE等国际知名数学杂志上。与周风教授译著《泛函分析—理论和应用》(H. Brezis著)一部。