报告题目：

C^{2,alpha} regularity for the Monge-Ampere equation

报 告 人：

汪徐家院士（澳大利亚国立大学数学系）

报告时间：

2018年01月16日 16:30--17:30

报告地点：

理学院东北楼四楼报告厅（404）

报告摘要：

In this talk we give a new and elementary proof for the C^{2,alpha} regularity of solutions to the Monge-Ampere equation, which was first obtained by Calabi-Pogorelov, and later by Evans-Krylov. We will also establish the global C^{2,alpha} estimate for the second boundary value problem of the Monge-Ampere equation, which was obtained by Caffarelli and Delanoe-Urbas under stronger conditions on the domains and right hand side. We present a different proof under weaker conditions.