Gradient Flows : in Metric Spaces and in the Space of Probability Measures
In this edition we made minor corrections kindly pointed out to us by some c- leagues, and we updated and expanded the bibliography. We have not included the developments of the theory of gradient ?ows occurred in the last three years, asgradient?ows inspaceswith Alexandrovcurvaturebounds [135] (see...
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| Main Authors: | , , |
|---|---|
| Format: | Livre numérique |
| Language: | Anglais |
| Published: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Edition: | Version électronique de la seconde édition. |
| Series: | Lectures in Mathematics ETH Zürich
Lectures in Mathematics. ETH Zürich |
| Subjects: | |
| Online Access: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
l'impression du document génère 322 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Gradient flows, in metric spaces and in the space of probability measures, Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré, 2nd edition, 2008, Basel, Birkhäuser, 1 vol. (VII-334 p.), Lectures in mathematics ETH Zürich, 978-3-7643-8721-1 |
Table of Contents:
- Notation Notation Gradient Flow in Metric Spaces Curves and Gradients in Metric Spaces Existence of Curves of Maximal Slope and their Variational Approximation Proofs of the Convergence Theorems Uniqueness, Generation of Contraction Semigroups, Error Estimates Gradient Flow in the Space of Probability Measures Preliminary Results on Measure Theory The Optimal Transportation Problem The Wasserstein Distance and its Behaviour along Geodesics Absolutely Continuous Curves in p(X) and the Continuity Equation Convex Functionals in p(X) Metric Slope and Subdifferential Calculus in (X) Gradient Flows and Curves of Maximal Slope in p(X)