Regularity of optimal transport maps and applications

De Philippis, Guido

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.

Scheda breve

Scheda completa

Scheda completa (DC)

	Data di discussione
	
				2-nov-2012
			
	Settore Scientifico Disciplinare della tesi (validi fino a 24/06/2024)
	
				MAT/05 ANALISI MATEMATICA
			
	Corso PhD
	
				Matematica
			
	Parole chiave
	
				Mathematics
Monge-Ampère equation
optimal transportation
Optimal transport maps
semigeostrophic equations
Sobolev regularity
			
	Editore
	
				Scuola Normale Superiore
			
	Relatore/i interno/i
	
				Ambrosio, Luigi
Caffarelli, Luis
			
	Appare nelle tipologie:
	
				9.1 Tesi PhD

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