Title: Gradient Flows : In Metric Spaces and in the Space of Probability Measures
Publisher: Birkh�user
Publication Date: 2008
Language: English
ISBN 10: 3764387211
ISBN 13: 9783764387211
Binding: Soft cover
Edition: 2nd Edition
Condition: As New

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The book is devoted to the theory of gradient flows in the general framework of metric spaces, and in the more specific setting of the space of probability measures, which provide a surprising link between optimal transportation theory and many evolutionary PDE's related to (non)linear diffusion. The book originates from lectures by L. Ambrosio at the ETH Z�rich in Fall 2001. It contains new results that have never appeared elsewhere. The book has been substantially extended and revised in cooperation with the co-authors. Particular emphasis is given to the convergence of the implicit time discretization method and to the error estimates for this discretization, extending the well established theory in Hilbert spaces. The book is split in two main parts that can be read independently of each other.

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