Optimal Transport for Applied Mathematicians - Calculus of Variations, PDEs, and Modeling (Paperback, Softcover reprint of the original 1st ed. 2015)

This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations. Its main goal is to provide the reader with the techniques necessary to understand the current research in optimal transport and the tools which are most useful for its applications. Full proofs are used to illustrate mathematical concepts and each chapter includes a section that discusses applications of optimal transport to various areas, such as economics, finance, potential games, image processing and fluid dynamics. Several topics are covered that have never been previously in books on this subject, such as the Knothe transport, the properties of functionals on measures, the Dacorogna-Moser flow, the formulation through minimal flows with prescribed divergence formulation, the case of the supremal cost, and the most classical numerical methods. Graduate students and researchers in both pure and applied mathematics interested in the problems and applications of optimal transport will find this to be an invaluable resource.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Progress in Nonlinear Differential Equations and Their Applications, 87
Release date:	August 2016
First published:	2015
Authors:	Filippo Santambrogio
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	353
Edition:	Softcover reprint of the original 1st ed. 2015
ISBN-13:	978-3-319-36581-7
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations
LSN:	3-319-36581-9
Barcode:	9783319365817

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