MPG.eBooks - Table of Contents: Gradient Flows

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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:	Geometry, Differential Measure Theory Mathematical Analysis Probability Theory Analysis Differential Geometry Measure And Integration Probabilities
Online Access:	https://doi.org/10.1007/978-3-7643-8722-8?nosfx=y
Collection:	Springer eBooks 2005- - Collection details see MPG.ReNa

Table of Contents:

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)