Differential Equations Methods for the Monge-Kantorovich Mass Transfer Problem.
Evans, L.C.
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.
9781470402426
Transportation problems (Programming).
Differential equations -- Numerical solutions.
Electronic books.
QA402.6 -- .E93 1999eb
510 s;515/.35
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.
9781470402426
Transportation problems (Programming).
Differential equations -- Numerical solutions.
Electronic books.
QA402.6 -- .E93 1999eb
510 s;515/.35