Analysis Seminar

Title: Regularity of optimal transport between planar convex domains
Speaker: Hui Yu
Speaker Info: Columbia University
Brief Description:
Special Note:

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
Time: 4:10pm
Where: Lunt 105
Contact Person: Prof. Jared Wunsch
Contact email: jwunsch@math.northwestern.edu
Contact Phone: 847-491-5580
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