Ambrosio, Luigi. <br/><br/>
Gradient Flows  in Metric Spaces and in the Space of Probability Measures /  [electronic resource] : 
by Luigi Ambrosio, Nicola Gigli, Giuseppe SavarȨ. 
 - Second Edition. 
 - IX, 334 p.  online resource. 
 - Lectures in Mathematics ETH Zȭrich .
 - Lectures in Mathematics ETH Zȭrich .
<br/><br/>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). 
<br/><br/><label>ISBN: </label>9783764387228 
<br/><br/><label>Standard No.: </label>10.1007/978-3-7643-8722-8  doi 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Mathematics.<br/>Global differential geometry.<br/>Distribution (Probability theory).<br/>Mathematics.<br/>Measure and Integration.<br/>Differential Geometry.<br/>Probability Theory and Stochastic Processes.
<br/><br/><label>LC Class. No.: </label>QA312-312.5 
<br/><br/><label>Dewey Class. No.: </label>515.42