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

  • Erscheinungsdatum: 30.03.2006
  • Verlag: Birkhäuser Basel
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Gradient Flows

This book is devoted to a theory of gradient ?ows in spaces which are not nec- sarily endowed with a natural linear or di?erentiable structure. It is made of two parts, the ?rst one concerning gradient ?ows in metric spaces and the second one 2 1 devoted to gradient ?ows in the L -Wasserstein space of probability measures on p a separable Hilbert space X (we consider the L -Wasserstein distance, p? (1,?), as well). The two parts have some connections, due to the fact that the Wasserstein space of probability measures provides an important model to which the 'metric' theory applies, but the book is conceived in such a way that the two parts can be read independently, the ?rst one by the reader more interested to Non-Smooth Analysis and Analysis in Metric Spaces, and the second one by the reader more oriented to theapplications in Partial Di?erential Equations, Measure Theory and Probability.


    Format: PDF
    Kopierschutz: AdobeDRM
    Seitenzahl: 333
    Erscheinungsdatum: 30.03.2006
    Sprache: Englisch
    ISBN: 9783764373092
    Verlag: Birkhäuser Basel
    Größe: 2583 kBytes
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