Optimal (Partial) Transport Between Non-Convex Polygons

報告題目：Optimal (Partial) Transport Between Non-Convex Polygons

報告人：陳世炳教授

報告時間：2024年3月8日17:30

報告地點：36-507

報告摘要：We will discuss the structure of the singular set in optimal transport between non-convex polygonal domains. For the complete transport problem, we will show that the singular set is a smooth curve except at a finite number of points. For the partial transport problem, we will show that the free boundary is smooth except at a finite number of singular points.

報告人簡介：陳世炳，中國科學技術大學數學科學學院教授、博士生導師，主要從事非線性橢圓方程及其應用的研究，在最優傳輸和凸幾何相關問題上做出若幹重要結果，主持多項國家自然科學基金。