• Corpus ID: 62824717

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

@inproceedings{Ambrosio2005GradientFI,
title={Gradient Flows: In Metric Spaces and in the Space of Probability Measures},
author={Luigi Ambrosio and Nicola Gigli and Giuseppe Savar{\'e}},
year={2005}
}
• Published 2005
• Mathematics
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…
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