This thesis is devoted to the regularity of optimal transport maps. We provide new results on this problem and some applications.

Regularity of optimal transport maps and applications / De Philippis, Guido; relatore: Ambrosio, Luigi; Scuola Normale Superiore, 02-Nov-2012.

Regularity of optimal transport maps and applications

De Philippis, Guido
2012

Abstract

This thesis is devoted to the regularity of optimal transport maps. We provide new results on this problem and some applications.
2-nov-2012
MAT/05 ANALISI MATEMATICA
Matematica
Mathematics
Monge-Ampère equation
optimal transportation
Optimal transport maps
semigeostrophic equations
Sobolev regularity
Scuola Normale Superiore
Ambrosio, Luigi
Caffarelli, Luis
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Descrizione: doctoral thesis full text
Tipologia: Tesi PhD
Licenza: Solo Lettura
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/85688
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