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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’s Theorem...
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| Lenguaje: | eng |
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Springer
2013
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| Acceso en línea: | https://dx.doi.org/10.1007/978-88-7642-458-8 http://cds.cern.ch/record/2023507 |