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数学学科现代分析及其应用研究所(2021非线性分析与偏微分方程系列报告会五十三)

发布者:戴 情   发布时间:2021-09-16  浏览次数:10

报告题目1 Optimal boundary regularity for fast diffusion equations in bounded  domains

报告人:熊金钢( 北京师范大学)

会议时间:917日(周五),14:00-15:00

腾讯会议ID:  900 890 423

https://meeting.tencent.com/dm/KHS5I2fj6RTG

摘要  I will talk about a recent joint work with Tianling Jin, establishing the optimal boundary regularity for fast diffusion equations. This solves a problem raised by Berryman-Holland 1980 completely.   

报告人简介: 北京师范大学教授、博士生导师。研究方向为偏微分方程、几何分析和非线性分析。在JEMS,Crelle's Journal, Math Ann. , Adv.Math., ARMA 等国际杂志发表原创性研究论文30余篇,2019年获国家优秀青年基金资助。


报告题目2 Adams inequalities and the existence and nonexistence of the extremals

报告人朱茂春 江苏大学)

会议时间:917日(周五),15:00-16:00

腾讯会议ID: 900 890 423

https://meeting.tencent.com/dm/KHS5I2fj6RTG

摘要 Adams type inequalities, as the border-line case of the Sobolev inequalities, play an important role in PDE’s, geometric analysis and String theory, and become one of the focus in the field of nonlinear functional analysis. In this talk, I will introduce our recent work on the Adams type inequalities with logarithmic weight and the Adimurthi-Druet type Adams inequalities on the entire space R^4; furthermore, we will discuss the existence and nonexistence of the extremals for the Adams inequalities on the entire space R^4 with L2 perturbation term in the functional. We show that the perturbation term will affect the existence and nonexistence of the extremals.  

报告人简介朱茂春,江苏大学副教授,博士毕业于西北工业大学。主要研究椭圆方程以及不等式最佳常数等相关问题。已在Adv.in Math., Analysis. PDE., CVPDE, JDE等国际著名期刊发表SCI论文十余篇。曾访问意大利米兰大学一年.

邀请人:非线性分析与PDE团队