Differential Equations Methods for the Monge-Kantorovich Mass Transfer Problem.
- 1st ed.
- 1 online resource (81 pages)
- Memoirs of the American Mathematical Society ; v.137 .
- Memoirs of the American Mathematical Society .
Intro -- Contents -- 1. Introduction -- 2. Uniform estimates on the p-Laplacian, limits as p [omitted] ∞ -- 3. The transport set and transport rays -- 4. Differentiability and smoothness properties of the potential -- 5. Generic properties of transport rays -- 6. Behavior of the transport density along rays -- 7. Vanishing of the transport density at the ends of rays -- 8. Approximate mass transfer plans -- 9. Passage to limits a.e. -- 10. Optimality -- Appendix: Approximating semiconcave and semiconvex functions by C[sup(2)] functions -- Bibliography.