Book contents
- Frontmatter
- Epigraph
- Dedication
- Contents
- Preface
- Notation
- Part I The Kantorovich Problem
- Part II Solution of the Monge Problem with Quadratic Cost: The Brenier–McCann Theorem
- Part III Applications to PDE and the Calculus of Variations and the Wasserstein Space
- Part IV Solution of the Monge Problem with Linear Cost: The Sudakov Theorem
- 16 Optimal Transport Maps on the Real Line
- 17 Disintegration
- 18 Solution to the Monge Problem with Linear Cost
- 19 An Introduction to the Needle Decomposition Method
- Appendix A Radon Measures on Rn and Related Topics
- Appendix B Bibliographical Notes
- References
- Index
18 - Solution to the Monge Problem with Linear Cost
from Part IV - Solution of the Monge Problem with Linear Cost: The Sudakov Theorem
Published online by Cambridge University Press: 02 November 2023
Book contents
- Frontmatter
- Epigraph
- Dedication
- Contents
- Preface
- Notation
- Part I The Kantorovich Problem
- Part II Solution of the Monge Problem with Quadratic Cost: The Brenier–McCann Theorem
- Part III Applications to PDE and the Calculus of Variations and the Wasserstein Space
- Part IV Solution of the Monge Problem with Linear Cost: The Sudakov Theorem
- 16 Optimal Transport Maps on the Real Line
- 17 Disintegration
- 18 Solution to the Monge Problem with Linear Cost
- 19 An Introduction to the Needle Decomposition Method
- Appendix A Radon Measures on Rn and Related Topics
- Appendix B Bibliographical Notes
- References
- Index
Summary
Solution of the Monge problem with linear cost, Sudakov maps.
- Type
- Chapter
- Information
- Optimal Mass Transport on Euclidean Spaces , pp. 216 - 246Publisher: Cambridge University PressPrint publication year: 2023