Gradient Flows In Metric Spaces and in the Space of Probability Measures |
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| Author:
| Ambrosio, Luigi
Gigli, Nicola
Savaré, Giuseppe |
| Series title: | Lectures in Mathematics ETH Zürich |
| ISBN: | 978-3-7643-2428-5 |
| Publication Date: | Jan 2005 |
| Publisher: | Birkhauser Verlag
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| Book Format: | Paperback |
| List Price: | USD $52.95 |
Book Description:
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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...
More DescriptionThe 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.