報告題目：Interior C^{1,1} regularity of solutions to degenerate Monge-Ampere type equations
報告人🙋：蔣飛達 教授
報告時間👇🏼🧑🏽：2019年11月18日(星期一)11:00—12:00
報告地點：必一体育平台212會議室
報告摘要👩🏿🦱：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.
報告人簡介：蔣飛達，南京信息工程大學🚭，數學與統計必一教授🤵🏼♂️，博士生導師。主要研究領域為完全非線性橢圓方程理論及其在最優質量運輸和幾何光學問題中的應用𓀘，在該領域中取得了一系列有創新性的高水平成果，相關研究成果發表在國際一流雜誌上，並得到了一些著名數學家的引用和好評（菲爾茲獎獲得者A. Figalli教授，法國巴黎第十一大學F. Santambrogio教授等）🙆🏿♂️。