SIMIS Seminar on Geometric Analysis and PDEs: Free boundaries in optimal transportation

Speaker: Shibing Chen (University of Science and Technology of China)

Abstract: 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 Jiakun Liu and Xian-duo Wang, we have made several interesting progresses on the latter. In this talk, I will explain these results.

Time: 15:00-16:00, Fri., May 17, 2024

Location: Floor 6, Innovation Center Building 3, Weicheng Road 62, Yangpu District, Shanghai, China

Zoom Meeting No.: 423 317 8953
Password: SIMIS

Organizer: Yi Li, Hao Xu

Scroll to Top