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"九章講壇"第492講 — Quoc Hung Nguyen 教授

日期:2022-02-24點擊數(shù):

應(yīng)yl7703永利官網(wǎng)楊四輩教授邀請,中國科學院數(shù)學研究所 Quoc Hung Nguyen 教授將于2022年3月1日進行線上學術(shù)報告.

報告題目:Some comparison estimates for singular quasilinear parabolic and elliptic equations and their consequences

時間:2022年3月1日(星期二)15:00 (北京時間);

Zoom Meeting ID:839 331 81799 (密碼:620073).

報告摘要:

In this talk, I present some 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. Finally, I examine a complete proof for Igor Verbitsky's conjecture on the p-Laplace Riccati type equation.

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Quoc Hung Nguyen 簡介

Prof. Nguyen got his Ph.D. in 2014 at the University of Tours. After that, he spent five years for 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, Adv. in Math.


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2022年2月24日