Gradient Flows : in Metric Spaces and in the Space of Probability Measures
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...
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| Auteurs principaux: | , , |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Basel :
Birkhäuser Basel : Springer e-books
[20..].
Cham : Springer Nature |
| Collection: | Lectures in Mathematics ETH Zürich
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| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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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, 2005, Basel, Birkhäuser Verlag, 1 volume (vii-333 pages), Lectures in mathematics ETH Zürich, 3-7643-2428-7 |
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| 100 | 1 | |a Ambrosio, Luigi, |d 1963-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Gradient Flows : |b in Metric Spaces and in the Space of Probability Measures |c by Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré. |
| 260 | |a Basel : |b Birkhäuser Basel : |b Springer e-books. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lectures in Mathematics ETH Zürich | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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 Notation 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 Pp(X) and the Continuity Equation Convex Functionals in Pp(X) Metric Slope and Subdifferential Calculus in Pp(X) Gradient Flows and Curves of Maximal Slope in Pp(X) | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Théorie de la mesure | ||
| 650 | |a Espaces métriques | ||
| 650 | |a Équations différentielles paraboliques | ||
| 650 | |a Opérateurs monotones | ||
| 650 | |a Équations d'évolution non linéaires | ||
| 700 | 1 | |a Gigli, Nicola, |d 1974-...., |c mathématicien. |4 aut | |
| 700 | 1 | |a Savaré, Giuseppe, |d 1966- |4 aut | |
| 776 | 0 | |0 086958526 |t Gradient flows |o in metric spaces and in the space of probability measures |f Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré |d 2005 |c Basel |n Birkhäuser Verlag |p 1 volume (vii-333 pages) |s Lectures in mathematics ETH Zürich |z 3-7643-2428-7 | |
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