Cuprins
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).
Limba Engleză ● Format PDF ● Pagini 334 ● ISBN 9783764387228 ● Mărime fișier 2.9 MB ● Editura Springer Basel ● Oraș Basel ● Țară CH ● Publicat 2008 ● Ediție 2 ● Descărcabil 24 luni ● Valută EUR ● ID 2235184 ● Protecție împotriva copiilor DRM social