报告题目：Some comparison estimates for singular quasilinear parabolic and elliptic equations and their consequences

报 告 人：Quoc-Hung Nguyen 副教授（中国科学院）

报告时间：2022年8月29号 10:00

报告地点：腾讯会议ID：258 514 244

摘要: In this talk, I present comparison estimates for p-Laplace parabolic and elliptic equations with measure and distributional data. Then, I discuss applying such comparison estimates to obtain potential estimates and Calderón- Zygmund type estimates for the gradient of solutions.

报告人简介：Professor Quoc-Hung Nguyen got his Ph.D. in 2014 at the University of Tours. After that, he spent five years as three postdocs in EPFL-Lausanne, SNS-Pisa, and New York University-Abu Dhabi. In 2019, he moved to Shanghai Tech. University, China as an assistant professor. Now, he is at the Chinese Academy of Sciences as an associate professor. He works in various directions: regularity theory for quasilinear elliptic and parabolic equations, nonlinear potential theory, Diperna Lions theory for Transport equation, and free boundary problem in fluid (exactly Muskat problem and Peskin), Mean-field limit. He published his work in some good journals such as CPAM, JEMS, ARMA, CMP, MEM of the AMS, Annals of PDE, JMPA, and Adv. in Math.