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

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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).
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登録日 2020.06.27
更新日 2020.07.08