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Personal Profile of Xu-Jia Wang

Xu-Jia Wang

Australian National University

Centre of Mathematics and its Applications

• Talks

1. August 26, 2013 - August 30, 2013

   Workshop Introductory Workshop on Optimal Transport: Geometry and Dynamics

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   Aug 27, 2013 Tuesday

   03:30 PM - 04:30 PM   Regularity in optimal transportation Xu-Jia Wang (Australian National University) Location MSRI: Simons Auditorium Video Abstract The potential functions in the optimal transportation satisfy a Monge-Ampere type equation. When the cost function c(x, y)=|x-y|^2, it is the standard Monge-Ampere equation, and has been studied by many people. For more general cost functions, Ma, Trudinger and myself obtained the regularity under a condition denoted as A3. Loeper showed that a weaker form of the condition, denoted as A3w, is necessary. The regularity under A3w was studied by Figalli, Kim, McCann. Most recently, Li, Santambrogio and myself also studied the regularity in Monge's mass transfer problem. In this talk I will discuss the latest development in this direction. Supplements v1137 189 KB application/pdf Show Detail

2. October 31, 2005 - November 04, 2005

   Workshop Recent Results in Nonlinear Elliptic Equations and their Interactions with Geometry

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   Nov 03, 2005 Thursday	04:00 PM - 05:00 PM   Fully Nonlinear Partial Differential Equations and Applications in Geometry. Xu-Jia Wang (Australian National University) Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail