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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 Caffarelli'...
| Cote: | Libro Electrónico |
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| Format: | Électronique eBook |
| Langue: | Inglés |
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Pisa :
Scuola Normale Superiore : Imprint: Edizioni della Normale,
2013.
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| Édition: | 1st ed. 2013. |
| Collection: | Theses (Scuola Normale Superiore),
17 |
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| Accès en ligne: | Texto Completo |