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

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Capa do Luigi Ambrosio & Nicola Gigli: Gradient Flows (PDF)

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Tabela de Conteúdo

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).

Língua Inglês ● Formato PDF ● Páginas 334 ● ISBN 9783764387228 ● Tamanho do arquivo 2.9 MB ● Editora Springer Basel ● Cidade Basel ● País CH ● Publicado 2008 ● Edição 2 ● Carregável 24 meses ● Moeda EUR ● ID 2235184 ● Proteção contra cópia DRM social

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