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Regularity of Optimal Transport Maps and Applications

Guido De Philippis
Publisher: 
Springer
Publication Date: 
2014
Number of Pages: 
190
Format: 
Paperback
Series: 
Publications of the Scuola Normale Superiore 17
Price: 
29.99
ISBN: 
9788876424564
Category: 
Monograph
We do not plan to review this book.

Introduction.- 1 An overview on Optimal Transportation.- 2 The Monge-Ampère Equation.- 3 Sobolev regularity of solutions to the Monge-Ampère equation.- 4 Second order stability for the Monge-Ampère equation and applications.- 5 The semigeostrophic equations.- 6 Partial regularity of optimal transport maps.- A. Properties of convex functions.- B. A proof of John Lemma.- Bibliography.

Dummy View - NOT TO BE DELETED