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Optimal Transport for Applied Mathematicians

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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.

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Detail Information

Series Title

Progress in Nonlinear Differential Equations and Their Applications

Call Number

-

Publisher

Cham, Switzerland : ., 2015

Collation

XXVII, 353

Language

English

ISBN/ISSN

978-3-319-20827-5

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

1

Subject(s)

Differential equations
Calculus of Variations and Optimization
Measure and Integration

Specific Detail Info

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Statement of Responsibility

Filippo Santambrogio

Other Information

Cataloger

SARA

Source

-

Validator

Taufik

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