ENGLISH

Lectures on Optimal Transport

By Luigi Ambrosio , Elia Brué , Daniele Semola

Book information

Publisher
Springer Nature Switzerland
Year
2024
ISBN
9783031768330, 9783031768347
DOI
10.1007/978-3-031-76834-7
ISSN
2532-3318
Language
english
Format
PDF
Filesize
4 MB (3670232 bytes)
Series
UNITEXT 169
Edition
2
Pages
260\260
Orientation
yes
Paginated
yes
Scanned
portrait
Time added
2025-01-03 20:42:17
Gradient FlowsKantorovich ProblemMonge ProblemOptimal TransportWasserstein Space

Description

This textbook is addressed to PhD or senior undergraduate students in mathematics, with interests in analysis, calculus of variations, probability and optimal transport. It originated from the teaching experience of the first author in the Scuola Normale Superiore, where a course on optimal transport and its applications has been given many times during the last 20 years. The topics and the tools were chosen at a sufficiently general and advanced level so that the student or scholar interested in a more specific theme would gain from the book the necessary background to explore it. After a large and detailed introduction to classical theory, more specific attention is devoted to applications to geometric and functional inequalities and to partial differential equations. This is the second edition of the book, first published in 2018. It includes refinement of proofs, an updated bibliography and a more detailed discussion of minmax principles, with the aim of giving two fully self-contained proofs of Kantorovich duality.

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