# A note on the regularity of the free boundaries in the optimal partial transport problem

created by figalli on 31 Mar 2009
modified on 08 May 2009

[BibTeX]

Accepted Paper

Inserted: 31 mar 2009
Last Updated: 8 may 2009

Journal: Rend. Circ. Mat. Palermo
Year: 2009

Abstract:

In this work we study the global regularity of the free boundaries arising in the optimal partial transport problem. Assuming the supports of both the source and the target measure to be convex, we show that the free boundaries of the active regions are globally $C^{0,1/2}$.