Title: Regularity of optimal transport between planar convex domains
Speaker: Hui Yu
Speaker Info: Columbia University
Brief Description:
Special Note:
Abstract:
In this talk we discuss a W^{2,p} estimate for the potential of optimal transport between two convex domains in the plane, which improves Caffarelli's C^{1,alpha} estimate. Some of the new ideas developed are an obliqueness result for rough convex domains and a growth control of the eccentricity of sections of solution to the Monge-Ampere equation.Date: Monday, October 29, 2018