Gradient flows
Collection : Lectures in mathematics. eth Zric Mention d'édition :2nd ed. Publié par : Birkhuser Basel ([berlin.] ) Détails physiques : 341 p. 24 cm. ISBN :3764387211 (paperback) ($69.95); 9783764387211 (paperback).
Sujet(s) :
Differential equations, Parabolic
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Differential equations, Partial
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Distribution (Probability theory)
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Evolution equations, Nonlinear
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Global differential geometry
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Measure theory
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Metric spaces
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Monotone operators
Année : 2005
Type de document | Site actuel | Cote | Statut | Date de retour prévue | Code à barres | Réservations |
---|---|---|---|---|---|---|
Livre | La bibliothèque des Sciences Exactes et Naturelles | 515.42 AMB (Parcourir l'étagère) | Disponible | 0000000016155 |
Total des réservations: 0
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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