Calculus of Variations and Geometric Measure Theory
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G. De Philippis - A. Figalli

Partial regularity results in optimal transportation

created by dephilipp on 23 Feb 2014
modified on 18 Oct 2014

[BibTeX]

Springer INdAM series

Inserted: 23 feb 2014
Last Updated: 18 oct 2014

Year: 2014
Notes:

Survey Paper


Abstract:

This note describes some recent results on the regularity of optimal transport maps. As we shall see, in general optimal maps are not globally smooth, but they are so outside a ``singular set'' of measure zero.


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