Speaker: Dr. Yuanyuan Li, Westlake University
Title: “Planar Optimal Transport with Non-Convex Domains”
Abstract: We analyze regularity in planar optimal transport. First, we investigate optimal transport problems where the target is a non-convex polygonal domain in R^2 and prove that the singular set is locally a 1-dimensional smooth curve, except for a finite number of points. Second, for source non-convex polygon, we establish a global W^{2,1+\epsilon} estimate for potentials of optimal transport. This is joint work with Shibing Chen (USTC), Jiakun Liu (U. Sydney), Shengnan Hu (Hunan Normal U.), and myself (Westlake U.)

The Analysis and Applied Mathematics (AAM) Seminar is intended for Kennesaw State faculty working in the various areas of analysis and applied mathematics to get together to discuss their current work or related questions. Seminars often involve advanced mathematical knowledge. However, the seminars are open to anyone interested in attending.

This seminar will be held virtually. 

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