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Regularity of the chord log-Minkowski problem
日期: 2024-01-04      信息来源:      点击数:

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。

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