Gradient Flows In Metric Spaces and in the Space of Probability Measures

Bibliographic Details
Main Authors: Ambrosio, Luigi, Gigli, Nicola (Author), Savare, Giuseppe (Author)
Format: eBook
Language:English
Published: Basel Birkhäuser 2008, 2008
Edition:2nd ed. 2008
Series:Lectures in Mathematics. ETH Zürich
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Gradient Flows  |h Elektronische Ressource  |b In Metric Spaces and in the Space of Probability Measures  |c by Luigi Ambrosio, Nicola Gigli, Giuseppe Savare 
250 |a 2nd ed. 2008 
260 |a Basel  |b Birkhäuser  |c 2008, 2008 
300 |a IX, 334 p  |b online resource 
505 0 |a 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) 
653 |a Geometry, Differential 
653 |a Measure theory 
653 |a Mathematical analysis 
653 |a Probability Theory 
653 |a Analysis 
653 |a Differential Geometry 
653 |a Measure and Integration 
653 |a Probabilities 
700 1 |a Gigli, Nicola  |e [author] 
700 1 |a Savare, Giuseppe  |e [author] 
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490 0 |a Lectures in Mathematics. ETH Zürich 
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