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math.AP2013
On the regularity of the free boundary in the optimal partial transport problem
Shibing Chen, Emanuel Indrei
This paper concerns the regularity and geometry of the free boundary in the optimal partial transport problem for general cost functions. More specifically, we prove that a c…
math.DG2013
Classifying convex compact ancient solutions to the affine curve shortening flow
Shibing Chen
In this paper we classify convex compact ancient solutions to the affine curve shortening flow: namely, any convex compact ancient solution to the affine curve shortening flow must…