Regularity of Optimal Transport Maps and Applications

• Κύριος συγγραφέας: Philippis, Guido De (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale, 2013.
• Σειρά: Publications of the Scuola Normale Superiore ; 17
• Θέματα: Mathematics.; Calculus of variations.; Calculus of Variations and Optimal Control; Optimization.

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...