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...
Shranjeno v:
| Auteurs principaux: | , , |
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| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Basel :
Birkhäuser Basel : Springer e-books
[20..].
Cham : Springer Nature |
| Serija: | Lectures in Mathematics ETH Zürich
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| Teme: | |
| Online dostop: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Sporočilo: |
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 |
Kazalo:
- 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)