Optimal Mass Transport (Paperback) (ISBN-13: 9786203847482)

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.

Author: Geoffrey Gacemi, Marc Sedjro
ISBN-10: 6203847488
ISBN-13: 9786203847482
Publisher: LAP Lambert Academic Publishing
Language: English
Published: 04/19/2021
Pages: 56
Format: Paperback
Weight: 0.21lbs
Size: 9.00h x 6.00w x 0.13d