10-31【蒋飞达】管楼1418 偏微分方程系列报告

时间:2019-10-28


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   澳门新葡新京1418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.


XML 地图 | Sitemap 地图