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Analysis Seminar

Thursday, September 26, 2019 - 3:00pm

Hui Yu



University of Pennsylvania


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. This talk is based on a joint work with O. Savin (Columbia)