网站地图 | 联系我们 | English | 意见反馈 | 主任信箱
 
首页 中心概况 新闻动态 科研进展 交流合作 人才培养 研究队伍 人才招聘 政策规章 数学交叉科学传播
学术报告
现在位置:首页 > 学术报告

On the C^1 and C^2-convergence to weak KAM solutions
【2021.9.4 9:45am, 腾讯会议】

【打印】【关闭】

 2021-8-27 

  Colloquia & Seminars 

  Speaker

苏喜锋 副教授,北京师范大学

  Title

On the C^1 and C^2-convergence to weak KAM solutions

  Time

2021.09.04 09:45-10:45

  Venue

腾讯会议ID:970 377 176

  Abstract

We introduce a notion of upper Green regular solutions to Tonelli Hamilton-Jacobi equations. Then we prove some weak $C^2$ convergence results to such a solution for a large class of approximated solutions as the discounted solution, the image of a $C^0$ function by the Lax-Oleinik semi-group, the weak KAM solutions for perturbed cohomology class. Moreover, we provide several examples or counter-examples, especially the one that is not upper Green regular and to which we have $C^1$ convergence but not convergence in measure of the second derivatives. This is a joint work with Marie-Claude Arnaud.

  Affiliation

 

欢迎访问国家数学与交叉科学中心 
地址:北京海淀区中关村东路55号 邮编:100190 电话: 86-10-62613242 Fax: 86-10-62616840 邮箱: ncmis@amss.ac.cn