Regularity of the chord log-Minkowski problem

：鲁建（华南师范大学）
：2023-10-23 14:00
：海韵园数理大楼686会议室

报告人：鲁建（华南师范大学）

时  间：2023年10月23日14:00

地  点：海韵园数理大楼686会议室

内容摘要:

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. 

个人简介：

鲁建，华南师范大学研究员。研究方向为偏微分方程，特别是 Monge-Ampere 型方程及其在几何中的应用。2013年在清华大学获博士学位，博士毕业后曾在浙江工业大学工作，在澳大利亚国立大学、伍伦贡大学访问。在Adv. Math., Trans. AMS, J. Funct. Anal., Calc. Var. PDE, Int. Math. Res. Not., J. Geom. Anal., J. Diff. Equations等期刊上发表多篇学术论文。目前正主持国家自然科学基金优秀青年科学基金项目、面上项目等课题。

 

联系人：夏超