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

Libro 138 de 140: Cambridge Studies in Advanced Mathematics

Maggi, Francesco

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

Sinopsis

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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Acerca del autor

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.

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Editorial
Cambridge University Press
Año de publicación
2023
Idioma
Inglés
ISBN 10 
1009179705
ISBN 13 
9781009179706
Encuadernación
Tapa dura
Número de páginas
316
Contacto del fabricante
no disponible
Persona responsable
Avery
https://www.avery.fr/

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