Regularity of Optimal Transport Maps and Applications
In this thesis, we study the regularity of optimal transport maps and its applications to the semi-geostrophic system. The first two chapters survey the known theory, in particular there is a self-contained proof of Brenier theorem on existence of optimal transport maps and of Caffarellis Theorem...
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| Format: | Electronic |
| Language: | English |
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Pisa :
Scuola Normale Superiore : Imprint: Edizioni della Normale,
2013.
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| Series: | Publications of the Scuola Normale Superiore ;
17 |
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| Online Access: | https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-88-7642-458-8 |