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Gradient Flows

In Metric Spaces and in the Space of Probability Measures

Luigi Ambrosio author Nicola Gigli author Giuseppe Savaré author

Format:Paperback

Publisher:Birkhauser Verlag AG

Published:13th Mar '08

Currently unavailable, and unfortunately no date known when it will be back

Gradient Flows cover

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. 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.

ISBN: 9783764387211

Dimensions: unknown

Weight: 591g

334 pages

2nd ed. 2008