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Autore: |
Ambrosio Luigi
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Titolo: |
Gradient flows : in metric spaces and in the space of probability measures / / Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré
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Pubblicazione: | Basel, : Birkhäuser, 2008 |
Edizione: | 2nd ed. |
Descrizione fisica: | 1 online resource (339 p.) |
Disciplina: | 515.42 |
Soggetto topico: | Measure theory |
Metric spaces | |
Differential equations, Parabolic | |
Monotone operators | |
Evolution equations, Nonlinear | |
Altri autori: |
GigliNicola
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Note generali: | Previous ed.: 2005. |
Nota di bibliografia: | Includes bibliographical references and index. |
Nota di contenuto: | 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). |
Sommario/riassunto: | Devoted to a theory of gradient flows in spaces which are not necessarily endowed with a natural linear or differentiable structure, this book focuses on gradient flows in metric spaces. It covers gradient flows in the space of probability measures on a separable Hilbert space, endowed with the Kantorovich-Rubinstein-Wasserstein distance. |
Titolo autorizzato: | Gradient flows ![]() |
ISBN: | 1-281-85136-1 |
9786611851361 | |
3-7643-8722-X | |
Formato: | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910823456903321 |
Lo trovi qui: | Univ. Federico II |
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