Regularity of optimal transport between planar convex domains
Speaker: Hui Yu, Columbia University
Location: Warren Weaver Hall 1302
Date: Thursday, October 11, 2018, 11 a.m.
In this talk we discuss a W2p estimate for the potential of optimal transport between two convex domains in the plane, which improves Caffarelli's C1alpha 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.