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Differential Equations Methods for the Monge-Kantorovich Mass Transfer Problem.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1999Copyright date: ©1999Edition: 1st edDescription: 1 online resource (81 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470402426
Subject(s): Genre/Form: Additional physical formats: Print version:: Differential Equations Methods for the Monge-Kantorovich Mass Transfer ProblemDDC classification:
  • 510 s;515/.35
LOC classification:
  • QA402.6 -- .E93 1999eb
Online resources:
Contents:
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.
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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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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