A note on the regularity of the free boundaries in the optimal partial transport problem |
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| Authors: | Alessio Figalli |
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| Institution: | (1) UMR 7640, Ecole Polytechnique, Centre de Mathématiques Laurent Schwartz, 91128 Palaiseau, France |
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| 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.
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| Keywords: | Optimal partial transport Free boundaries |
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