Analysis&PDE | From optimal Transportation to Nonlinear Optimisation

报告人：Jiakun Liu（University of Wollongong）

题目：From optimal Transportation to Nonlinear Optimisation

时间：2019年10月17日（周四）上午10:30-11:30

地点：玉泉校区欧阳楼314

摘要：In this talk, we first introduce the optimal transportation problem and its Kantorovich’s dual functional, from which arises the research area of linear programming,also called linear optimisation. As an extension, we then introduce a class of nonlinear optimisation problems. Under mild assumptions, we obtain the existence of potential functions and show that the potential function is a generalised solution of a Monge-Ampere equation. We also present some interesting applications in geometric optics problems.

联系人：李奇睿（qi-rui.li@zju.edu.cn）