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

MAA Review
Table of Contents

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.

Tags:

Partial Differential Equations