Shenzhen University School of Mathematical Sciences  

Liyuan Scholars Colloquium No. 121  

Lecture Title: Regularity of Weak Solutions to Divergence Form Ultraparabolic Equations

Speaker: Prof. Zhang Liqun (Research Fellow, Academy of Mathematics and Systems Science, Chinese Academy of Sciences)  

Date & Time: 4:30–5:30 PM, April 18, 2025  

Venue: Room 1, Huixing Building, Yuehai Campus, Shenzhen University  

Abstract: This talk will report on recent progress and related research concerning the regularity of weak solutions to ultraparabolic equations with bounded measurable coefficients in divergence form. We first introduce the background of these equations and their applications in various fields, then focus on the development of the De Giorgi-Nash-Moser regularity theory in this context, and finally discuss applications in related problem studies.  

Biography: Prof. Zhang Liqun is a Research Fellow at the Academy of Mathematics and Systems Science, Chinese Academy of Sciences, and a Professor at the University of Chinese Academy of Sciences. He is a recipient of the National Science Fund for Distinguished Young Scholars (2003) and the One-Hundred Talent Program of the Chinese Academy of Sciences. His research focuses on partial differential equations and geometric analysis, with important contributions to the solvability of elliptic equations, Prandtl boundary layer theory, and the regularity and uniqueness theory of parabolic equations. He has published numerous academic papers in journals such as Communications in Mathematical Physics, Advances in Mathematics, Communications on Pure and Applied Mathematics, Journal of Functional Analysis, Calculus of Variations and Partial Differential Equations, Communications in Contemporary Mathematics, and Communications in Analysis and Geometry. He has also served as Deputy Director of the Department of Mathematical Sciences at the National Natural Science Foundation of China and Secretary-General of the Chinese Mathematical Society.  

All faculty and students are welcome to attend!

Invited by: School of Mathematical Sciences (Dean)

School of Mathematical Sciences  

April 3, 2025