Gradient Flows
| Autor: | Luigi Ambrosio, Nicola Gigli, Giuseppe Savare |
|---|---|
| EAN: | 9783764387228 |
| eBook Format: | |
| Sprache: | Englisch |
| Produktart: | eBook |
| Veröffentlichungsdatum: | 29.10.2008 |
| Untertitel: | In Metric Spaces and in the Space of Probability Measures |
| Kategorie: | |
| Schlagworte: | Gradient flows Hilbert space Maxima Maximum Measure theory Metric spaces Probability measures Riemannian structures calculus differential equation measure |
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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 spaces. The book is split in two main parts that can be read independently of each other.
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