Gradient Flows: In Metric Spaces and in the Space of Probability Measures

Author:   Professor Luigi Ambrosio (Scuola Normale Superiore, Pisa) ,  Nicola Gigli ,  Giuseppe Savare
Publisher:   Birkhauser Basel
Edition:   2nd
ISBN:  

9781281851369


Pages:   334
Publication Date:   01 January 2008
Format:   Electronic book text
Availability:   In stock   Availability explained
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Gradient Flows: In Metric Spaces and in the Space of Probability Measures


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Overview

This book is devoted to a theory of gradient flows in spaces which are not necessarily endowed with a natural linear or differentiable structure. It consists of two parts, the first one concerning gradient flows in metric spaces and the second one devoted to gradient flows in the space of probability measures on a separable Hilbert space, endowed with the Kantorovich-Rubinstein-Wasserstein distance. The two parts have some connections, due to the fact that the space of probability measures provides an important model to which the 'metric' theory applies, but the book is conceived in such a way that the two parts can be read independently, the first one by the reader more interested in non-smooth analysis and analysis in metric spaces, and the second one by the reader more orientated towards the applications in partial differential equations, measure theory and probability.

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Author:   Professor Luigi Ambrosio (Scuola Normale Superiore, Pisa) ,  Nicola Gigli ,  Giuseppe Savare
Publisher:   Birkhauser Basel
Imprint:   Birkhauser Basel
Edition:   2nd
ISBN:  

9781281851369


ISBN 10:   1281851361
Pages:   334
Publication Date:   01 January 2008
Audience:   General/trade ,  General
Format:   Electronic book text
Publisher's Status:   Active
Availability:   In stock   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

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