Title: Regularity of Optimal Transport Maps and Applications: 17 (Publications of the Scuola Normale Superiore, 17)
Publisher: Edizioni della Normale
Publication Date: 2013
Language: English
ISBN 10: 8876424563
ISBN 13: 9788876424564
Binding: Soft cover
Condition: New

About this title

Synopsis

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 on Holder continuity of optimal maps. In the third and fourth chapter we start investigating Sobolev regularity of optimal transport maps, while in Chapter 5 we show how the above mentioned results allows to prove the existence of Eulerian solution to the semi-geostrophic equation. In Chapter 6 we prove partial regularity of optimal maps with respect to a generic cost functions (it is well known that in this case global regularity can not be expected). More precisely we show that if the target and source measure have smooth densities the optimal map is always smooth outside a closed set of measure zero.

From the Back Cover

"About this title" may belong to another edition of this title.

Store Description

Kennys.ie is the largest exporter of books from Ireland currently exporting to approximately 100 countries around the world. Kennys Bookshop houses hundreds of thousands of books and specialises in collection development and library services, supplying booksellers and state and university libraries on a global scale including the U.S.A.,Japan and Europe. Kennys.ie is Ireland's Largest Online Bookshop.

Visit Seller's Storefront

Seller's business information

Kennys Bookshop and Art Galleries Ltd.
Liosban Industrial Estate, Tuam Road, Galway, Ireland

Sale & Shipping Terms

Terms of Sale

Terms of Sale - Credit Cards: Visa, Master Card, American Express, Diner.
Payment can also be made by bank draft in Euros, drawn on an Irish Bank.

We regret that PO Boxes are not acceptable to the U.S. as our courier will not deliver to them.

In case of returns or queries please contact us by email books@kennys.ie or by phone +353 91 709350

VAT Registration - IE2238521A

Conor Kenny

Shipping Terms

Free Shipping

Shipping rates from Ireland to U.S.A.

Shipping rates from Ireland to U.S.A.
Order quantity	12 to 22 business days	10 to 20 business days
First item	US$ 12.19	US$ 13.35

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.