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Published in:
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2003 | OriginalPaper | Chapter

Lecture Notes on Optimal Transport Problems

Author : Luigi Ambrosio

Published in: Mathematical Aspects of Evolving Interfaces

Publisher: Springer Berlin Heidelberg

Included in: Professional Book Archive

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1 Some elementary examples2 Optimal transport plans: existence and regularity3 The one dimensional case4 The ODE version of the optimal transport problem5 The PDE version of the optimal transport problem and the p-laplacian approximation6 Existence of optimal transport maps7 Regularity and uniqueness of the transport density8 The Bouchitté-Buttazzo mass optimization problem9 Appendix: some measure theoretic resultsReferences

next chapter Numerical Approximation of Mean Curvature Flow of Graphs and Level Sets
Metadata
Title
Lecture Notes on Optimal Transport Problems
Author
Luigi Ambrosio
Copyright Year
2003
Publisher
Springer Berlin Heidelberg
Book
Mathematical Aspects of Evolving Interfaces

Print ISBN: 978-3-540-14033-7

Electronic ISBN: 978-3-540-39189-0

Copyright Year: 2003

DOI
https://doi.org/10.1007/978-3-540-39189-0_1

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