Mathematical Aspects of Evolving Interfaces

Volume 1812 of the series Lecture Notes in Mathematics pp 1-52


Lecture Notes on Optimal Transport Problems

* Final gross prices may vary according to local VAT.

Get Access


  • 1 Some elementary examples

  • 2 Optimal transport plans: existence and regularity

  • 3 The one dimensional case

  • 4 The ODE version of the optimal transport problem

  • 5 The PDE version of the optimal transport problem and the p-laplacian approximation

  • 6 Existence of optimal transport maps

  • 7 Regularity and uniqueness of the transport density

  • 8 The Bouchitté-Buttazzo mass optimization problem

  • 9 Appendix: some measure theoretic results

  • References

Mathematics Subject Classification (2000):

35-02 35Bxx 35QXX 35K57 53C44 76D05 80A22