ENGLISH

Gradient flows: In metric spaces and in the space of probability measures

By Luigi Ambrosio , Nicola Gigli , Giuseppe Savaré

Book information

Publisher
Birkhäuser Basel
Year
2008
ISBN
9783764387211, 3764387211
Language
english
Format
PDF
Filesize
2 MB (2136322 bytes)
Series
Lectures in Mathematics. ETH Zürich
Edition
2nd
Pages
331\331
Library
Kolxo3
Orientation
no
Scanned
yes
Time added
2009-07-20 03:45:11

Description

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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