Gradient flows : in metric spaces and in the space of probability measures / Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré
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 probabilit...
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| Online Access: |
Full Text (via ProQuest) |
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| Main Author: | |
| Other Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Basel ; Boston :
Birkhäuser,
©2008.
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| Edition: | 2nd ed. |
| Series: | Lectures in mathematics ETH Zürich.
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| Subjects: |
| Summary: | 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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| Physical Description: | 1 online resource (vii, 334 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 321-331) and index. |
| ISBN: | 9783764387228 376438722X 9783764387211 3764387211 1281851361 9781281851369 9786611851361 6611851364 9783764398088 3764398086 |
| Language: | English. |
| Source of Description, Etc. Note: | Print version record. |