Regularity of the chord log-Minkowski problem

发布时间：2023-11-30 作者：浏览次数：

Speaker:	鲁建	DateTime:	2023年12月2日(周六）09：00-10：00
Brief Introduction to Speaker: 鲁建，华南师范大学教授。研究方向主要为偏微分方程，特别是Monge-Ampere 型方程及其在几何中的应用。在 Adv. Math.、J. Funct. Anal.、Trans. Amer. Math. Soc.、Calc. Var. Partial Differential Equations、J. Differential Equations 等数学期刊上发表 SC收录论文10余篇。		Place:	六号楼415报告厅
Abstract: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.