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

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Обкладинка Luigi Ambrosio & Nicola Gigli: Gradient Flows (PDF)

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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).

Мова Англійська ● Формат PDF ● Сторінки 334 ● ISBN 9783764387228 ● Розмір файлу 2.9 MB ● Видавець Springer Basel ● Місто Basel ● Країна CH ● Опубліковано 2008 ● Видання 2 ● Завантажувані 24 місяців ● Валюта EUR ● Посвідчення особи 2235184 ● Захист від копіювання Соціальний DRM

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Luigi Ambrosio Nicola Gigli Giuseppe Savare

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