Optimal Mass Transport on Euclidean Spaces (Cambridge Studies in Advanced Mathematics, Series Number 207) - Hardcover

Book 138 of 140: Cambridge Studies in Advanced Mathematics

Maggi, Francesco

 
9781009179706: Optimal Mass Transport on Euclidean Spaces (Cambridge Studies in Advanced Mathematics, Series Number 207)
Hardcover
ISBN 10: 1009179705 ISBN 13: 9781009179706
Publisher: Cambridge University Press, 2023

Synopsis

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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About the Author

Francesco Maggi is Professor of Mathematics at the University of Texas at Austin. His research interests include the calculus of variations, partial differential equations, and optimal mass transport. He is the author of Sets of Finite Perimeter and Geometric Variational Problems published by Cambridge University Press.

"About this title" may belong to another edition of this title.

Publisher
Cambridge University Press
Publication date
2023
Language
English
ISBN 10 
1009179705
ISBN 13 
9781009179706
Binding
Hardcover
Number of pages
345