Optimal Mass Transport

Regularity of Brenier Solution

von Geoffrey Gacemi, Marc Sedjro

56 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

In this book, we discuss the theory of optimal mass transport as first formulated by Gaspard Monge in 1781. We further discuss the important steps leading to the existence of solutions to the Monge¿s problem. Next, we formulate Brenier theorem which not only solves the Monge¿s problem for quadratic cost function but also provides a link to a class of the Monge-Ampere equations. Finally, we study the regularity of Brenier solution.

• Themen: Mathematik und Naturwissenschaften Mathematik
• ISBN: 9786203847482
• Sprache: Englisch
• Erscheinungsdatum: 19.04.2021
• Größe: 220 x 150 mm
• Verlag: LAP LAMBERT Academic Publishing