Optimal mass transport on Euclidean spaces /

Optimal mass transport has emerged in the past three decades as an active field with wide-ranging connections to the calculus of variations, PDEs, and geometric analysis. This graduate-level introduction covers the field's theoretical foundation and key ideas in applications. By focusing on opt...

Ausführliche Beschreibung

Gespeichert in:
1. Verfasser:
Maggi, Francesco
Format:
Elektronisch E-Book
Sprache:
Englisch
Veröffentlicht:
Cambridge ; New York, NY : Cambridge University Press, 2023.
Ausgabe:
First edition.
Zusammenfassung:
Optimal mass transport has emerged in the past three decades as an active field with wide-ranging connections to the calculus of variations, PDEs, and geometric analysis. This graduate-level introduction covers the field's theoretical foundation and key ideas in applications. By focusing on optimal mass transport problems in a Euclidean setting, the book is able to introduce concepts in a gradual, accessible way with minimal prerequisites, while remaining technically and conceptually complete. Working in a familiar context will help readers build geometric intuition quickly and give them a strong foundation in the subject. This book explores the relation between the Monge and Kantorovich transport problems, solving the former for both the linear transport cost (which is important in geometric applications) and for the quadratic transport cost (which is central in PDE applications), starting from the solution of the latter for arbitrary transport costs.
Umfang:
1 online resource (xx, 295 pages) : digital, PDF file(s).
Anmerkungen:
Title from publisher's bibliographic system (viewed on 03 Nov 2023).
Bibliografie:
Includes bibliographical references and index.
ISBN:
9781009189262
1009189263
9781009179713
1009179713
Schlagworte:
Transport theory > Mathematical models.
Mass transfer.
Generalized spaces.
Bezugswerke:
Links: