Regularity of the chord log-Minkowski problem

走向现代数学学术报告 - 鲁建研究员（No. 682）

题目：Regularity of the chord log-Minkowski problem

报告人：鲁建研究员（华南师范大学）

时间：2024年1月11日 16:00

地点：东海岸校区D209

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.

报告人简介：鲁建，博士，华南师范大学研究员。本科、直博毕业于清华大学。之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。研究领域主要为 Monge-Ampere 型等非线性偏微分方程及其应用。