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Gradient Flows: In Metric Spaces and in the Space of Probability Measures (Lectures in Mathematics. ETH Zürich) - Softcover
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Synopsis
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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- PublisherBirkhäuser
- Publication date2008
- ISBN 10 3764387211
- ISBN 13 9783764387211
- BindingPaperback
- LanguageEnglish
- Edition number2
- Number of pages343
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Gradient Flows: In Metric Spaces and in the Space of Probability Measures (Lectures in Mathematics. ETH Zürich)
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Gradient Flows: In Metric Spaces and in the Space of Probability Measures (Lectures in Mathematics. ETH Zürich)
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Gradient Flows: In Metric Spaces and in the Space of Probability Measures (Lectures in Mathematics. ETH Zürich)
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Gradient Flows : In Metric Spaces and in the Space of Probability Measures
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Gradient Flows
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Springer, Basel, Birkhäuser Basel, Birkhäuser Mrz 2008, 2008
ISBN 10: 3764387211
ISBN 13: 9783764387211
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 334 pp. Englisch. Seller Inventory # 9783764387211
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Gradient Flows
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Originating from lectures by L. Ambrosio at the ETH Zuerich in Fall 2001Substantially extended and revised in cooperation with the co-authorsServes as textbook and reference book on the topicPresented as much as possible in a self-con. Seller Inventory # 5279918
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Gradient Flows : In Metric Spaces and in the Space of Probability Measures
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Gradient Flows: In Metric Spaces and in the Space of Probability Measures (Lectures in Mathematics. ETH Zürich (closed))
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