报告题目：Interior C^{1,1} regularity of solutions to degenerate Monge-Ampere type equations
报告人：蒋飞达 教授
报告时间：2019年11月18日(星期一)11:00—12:00
报告地点：澳门十大娱乐平台正规212会议室
报告摘要：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.
报告人简介：蒋飞达，南京信息工程大学，数学与统计学院教授，博士生导师。主要研究领域为完全非线性椭圆方程理论及其在最优质量运输和几何光学问题中的应用，在该领域中取得了一系列有创新性的高水平成果，相关研究成果发表在国际一流杂志上，并得到了一些著名数学家的引用和好评（菲尔兹奖获得者A. Figalli教授，法国巴黎第十一大学F. Santambrogio教授等）。