亿万先生MR

弦对数闵可夫斯基问题的正则性

2023.11.23

投稿:龚惠英部门:理学院浏览次数:

活动信息

汇报标题 (Title):Regularity of the chord log-Minkowski problem

中文标题: 弦对数闵可夫斯基问题的正则性

汇报人 (Speaker):鲁建 钻研员(华南师范大学)

汇报功夫 (Time):2023年11月23号(周四)16:00

汇报地址 (Place):腾讯会议:921-522-704密码:4930

约请人(Inviter):席东盟、李晋、张德凯

主办部门:理学院数学系

汇报提要:The chord log-Minkowski problem arises from integral geometry, which was initially proposed by Lutwak-Xi-Yang-Zhang recently. In the smooth case, it is equivalent to solving a type of nonlocal Monge-Ampere equation on the unit hypersphere. Actually, it involves a Riesz potential defined on a bounded domain. We will mainly talk about a new result on the regularity of solutions to the chord log-Minkowski problem, which is based on a joint work with Jinrong Hu and Yong Huang.

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