Title：Interior C^{1,1} regularity of solutions to degenerate Monge-Ampere type equations

Speaker：蒋飞达 教授    （南京信息工程大学）

Time：2019年10月31日（周四）     下午    14:00-15:00

Room：东区管理科研楼   0029cc金沙贵宾会1418室

Abstract：In this talk, we present the interior C^{1,1} regularity of viscosity solutions for a degenerate Monge-Ampere type equation when the (n-1)-th root of the right hand side function is C^{1,1} smooth. We will talk about the cases when the matrix function satisfies the A3 condition and A3w+ condition respectively. In the former case, we construct a suitable auxiliary function to obtain uniform a priori estimates directly. In the latter case, the main argument is to establish the Pogorelov type estimates, which are interesting independently. The degenerate Monge-Ampere equation in the standard form will also be discussed.