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Luigi Ambrosio & Nicola Gigli
Gradient Flows
In Metric Spaces and in the Space of Probability Measures

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Hoes van Luigi Ambrosio & Nicola Gigli: Gradient Flows (PDF)

€117.69

Inhoudsopgave

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).

Taal Engels ● Formaat PDF ● Pagina’s 334 ● ISBN 9783764387228 ● Bestandsgrootte 2.9 MB ● Uitgeverij Springer Basel ● Stad Basel ● Land CH ● Gepubliceerd 2008 ● Editie 2 ● Downloadbare 24 maanden ● Valuta EUR ● ID 2235184 ● Kopieerbeveiliging Sociale DRM

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