Gradient Flows

In Metric Spaces and in the Space of Probability Measures

Häftad, Engelska, 2008

AvLuigi Ambrosio,Nicola Gigli,Giuseppe Savare,Luigi Ambrosio,Nicola Gigli

1 649 kr

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This book is devoted to a theory of gradient flows in spaces which are not necessarily endowed with a natural linear or differentiable structure. The book originates from lectures by L. Ambrosio at the ETH Zurich in Fall 2001 and contains new results.

Produktinformation

Utgivningsdatum2008-03-13
Mått168 x 236 x 18 mm
Vikt681 g
FormatHäftad
SpråkEngelska
SerieLectures in Mathematics. ETH Zürich
Antal sidor334
Upplaga2
FörlagBirkhauser Verlag AG
ISBN9783764387211

Tillhör följande kategorier

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).