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Gradient Flows In Metric Spaces and in the Space of Probability Measures von Ambrosio, Luigi (eBook)

  • Erscheinungsdatum: 29.10.2008
  • Verlag: Birkhäuser Basel
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Gradient Flows

The book is devoted to the theory of gradient flows in the general framework of metric spaces, and in the more specific setting of the space of probability measures, which provide a surprising link between optimal transportation theory and many evolutionary PDE's related to (non)linear diffusion. Particular emphasis is given to the convergence of the implicit time discretization method and to the error estimates for this discretization, extending the well established theory in Hilbert spaces. The book is split in two main parts that can be read independently of each other.


    Format: PDF
    Kopierschutz: AdobeDRM
    Seitenzahl: 334
    Erscheinungsdatum: 29.10.2008
    Sprache: Englisch
    ISBN: 9783764387228
    Verlag: Birkhäuser Basel
    Größe: 2746 kBytes
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