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
- Appendix A Radon Measures on Rn and Related Topics
- Appendix B Bibliographical Notes
- References
- Index
Part III - Applications to PDE and the Calculus of Variations and the Wasserstein Space
Published online by Cambridge University Press: 02 November 2023
- 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
- Appendix A Radon Measures on Rn and Related Topics
- Appendix B Bibliographical Notes
- References
- Index
Summary

- Type
- Chapter
- Information
- Optimal Mass Transport on Euclidean Spaces , pp. 95 - 96Publisher: Cambridge University PressPrint publication year: 2023