報告時間：2024年5月10日（星期五）16:00-17:00
報告地點：翡翠湖校區科教樓B1710室
報 告 人：陳世炳 教授
工作單位：中國科學技術大學
舉辦單位：數學學院
報告簡介：
In this talk, I will discuss the optimal partial transport problem, in which free boundaries arise. The problem was first investigated by Caffarelli and McCann [Annals 2010], where they established the interior $C^{1,\alpha}$ regularity of the free boundary but left open the higher-order regularity and global regularity of the free boundary. In joint work with Jiakun Liu and Xu-Jia Wang, we completely settle the former, and together with Xian-duo Wang and Jiakun Liu, we have made several interesting progresses on the latter. In this talk, I will explain these results.
報告人簡介：
陳世炳，中國科學技術大學數學系教授、博士生導師，入選國家級青年人才計劃，主持國家杰出青年基金項目，先后于美國MSRI和澳洲國立大學數學系從事博士后研究。長期致力于Monge-Ampere方程及其在最優傳輸和幾何中的應用。在Ann. Math., CPAM等國際著名期刊發表論文多篇。
