报告题目：Free Boundary Problems in the Monge-Ampere Equation

报告时间：2023-04-12  16:00-17:00

报告人：汪徐家 澳大利亚科学院院士  澳大利亚国立大学

腾讯会议ID：348-538-149

报告链接：https://meeting.tencent.com/dm/oKit5YqYxFdQ

Abstract：There are mainly three free boundary problems related to the Monge-Ampere equation. One is the free boundary problem in the Monge-Ampere obstacle problem, another one is the free boundary in partial optimal transportation, and the third one arises in the Gauss curvature flow of convex hypersurface with flat side. These problems have been studied by many authors, but only the C^1,α regularity or the C^2,α regularity in dimension two have been obtained. With my collaborators, we proved the C^2,α and higher regularities for all the three problems.