报告题目 (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
报告人 (Speaker):鲁建 研究员(华南师范大学)
报告时间 (Time):2023年11月23号(周四)16:00
报告地点 (Place):腾讯会议:921-522-704密码:4930
邀请人(Inviter):席东盟、李晋、张德凯
主办部门:永利数学系
报告摘要: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.