Abstract
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1 Some elementary examples
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2 Optimal transport plans: existence and regularity
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3 The one dimensional case
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4 The ODE version of the optimal transport problem
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5 The PDE version of the optimal transport problem and the p-laplacian approximation
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6 Existence of optimal transport maps
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7 Regularity and uniqueness of the transport density
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8 The Bouchitté-Buttazzo mass optimization problem
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9 Appendix: some measure theoretic results
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References
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© 2003 Springer-Verlag Berlin/Heidelberg
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Ambrosio, L. (2003). Lecture Notes on Optimal Transport Problems. In: Mathematical Aspects of Evolving Interfaces. Lecture Notes in Mathematics, vol 1812. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39189-0_1
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DOI: https://doi.org/10.1007/978-3-540-39189-0_1
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