Gradient Flows

In Metric Spaces and in the Space of Probability Measures

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Éditeur :

Birkhäuser


Collection :

Lectures in Mathematics. ETH Zürich

Paru le : 2006-03-30



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Description
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.
Pages
333 pages
Collection
Lectures in Mathematics. ETH Zürich
Parution
2006-03-30
Marque
Birkhäuser
EAN papier
9783764324285
EAN PDF
9783764373092

Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
33
Taille du fichier
2580 Ko
Prix
36,47 €