Description: 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.
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EAN: 9781009179706
UPC: 9781009179706
ISBN: 9781009179706
MPN: N/A
Format: Hardback, 345 pages
Author: Maggi, Francesco
Item Height: 2.2 cm
Item Length: 22.9 cm
Item Weight: 0.62 kg
Item Width: 15.2 cm
Language: Eng
Publication Name: N/A
Publisher: Cambridge University Press
Type: N/A
