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Gradient Flows: In Metric Spaces and in the Space of Probability Measures (Lectures in Mathematics. ETH Zürich) - Softcover
Synopsis
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. The book originates from lectures by L. Ambrosio at the ETH Zürich in Fall 2001. It contains new results that have never appeared elsewhere. The book has been substantially extended and revised in cooperation with the co-authors. 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.
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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
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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: 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 : In Metric Spaces and in the Space of Probability Measures
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783764387211
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