Title：Global $C^{2,\alpha}$ estimates for the Monge-Ampere equation on polygonal domains in the plane

Speaker：Professor Nam Le（Indiana University）

Time：2019年10月31日（周四）   下午  16:00-17:00

Room：东区管理科研楼  数学科学学院1418室

Abstract：In this talk, we discuss the global $C^{2,\alpha}$ estimates for the non-degenerate Monge-Ampere equation in convex polygonal domains in the plane. A crucial ingredient in our analysis is the classification of global solutions to the Monge-Ampere equation in the first quadrant in the plane with constant right hand side and quadratic boundary data. This is joint work with Ovidiu Savin.