Gradient Flows: In Metric Spaces and in the Space of Probability Measures (LECTURES IN MATHEMATICS ETH ZURICH)
ISBN-13:
9783764324285
ISBN-10:
3764324287
Edition:
1
Author:
Luigi Ambrosio, Nicola Gigli, Giuseppe Savare
Publication date:
2004
Publisher:
Birkhäuser Basel
Format:
Paperback
333 pages
Category:
Applied
,
Mathematical Analysis
,
Mathematics
FREE US shipping
Book details
ISBN-13:
9783764324285
ISBN-10:
3764324287
Edition:
1
Author:
Luigi Ambrosio, Nicola Gigli, Giuseppe Savare
Publication date:
2004
Publisher:
Birkhäuser Basel
Format:
Paperback
333 pages
Category:
Applied
,
Mathematical Analysis
,
Mathematics
Summary
Gradient Flows: In Metric Spaces and in the Space of Probability Measures (LECTURES IN MATHEMATICS ETH ZURICH) (ISBN-13: 9783764324285 and ISBN-10: 3764324287), written by authors
Luigi Ambrosio, Nicola Gigli, Giuseppe Savare, was published by Birkhäuser Basel in 2004.
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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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