TY  - BOOK
AU  - 
AU  - 
AU  - 
ED  - SpringerLink (Online service)
TI  - Gradient Flows: in Metric Spaces and in the Space of Probability Measures 
T2  - Lectures in Mathematics ETH Zȭrich
SN  - 9783764387228
AV  - QA312-312.5 
U1  - 515.42 23
PY  - 2008///
CY  - Basel
PB  - Birkhuser Basel
KW  - Mathematics
KW  - Global differential geometry
KW  - Distribution (Probability theory)
KW  - Measure and Integration
KW  - Differential Geometry
KW  - Probability Theory and Stochastic Processes
N1  - 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)
UR  - http://dx.doi.org/10.1007/978-3-7643-8722-8
ER  -