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

Main Authors: Ambrosio, Luigi. (Author, http://id.loc.gov/vocabulary/relators/aut), Gigli, Nicola. (http://id.loc.gov/vocabulary/relators/aut), Savare, Giuseppe. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2008.
Edition:2nd ed. 2008.
Series:Lectures in Mathematics. ETH Zürich
Subjects:
Mathematical analysis.
Analysis (Mathematics).
Measure theory.
Differential geometry.
Probabilities.
Analysis.
Measure and Integration.
Differential Geometry.
Probability Theory and Stochastic Processes.
Online Access:https://doi.org/10.1007/978-3-7643-8722-8
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100 1 |a Ambrosio, Luigi.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Gradient Flows  |h [electronic resource] :  |b In Metric Spaces and in the Space of Probability Measures /  |c by Luigi Ambrosio, Nicola Gigli, Giuseppe Savare. 
250 |a 2nd ed. 2008. 
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490 1 |a Lectures in Mathematics. ETH Zürich 
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). 
650 0 |a Mathematical analysis. 
650 0 |a Analysis (Mathematics). 
650 0 |a Measure theory. 
650 0 |a Differential geometry. 
650 0 |a Probabilities. 
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650 2 4 |a Probability Theory and Stochastic Processes.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/M27004 
700 1 |a Gigli, Nicola.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Savare, Giuseppe.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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