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Functions of bounded variation and free discontinuity problems par Ambrosio, Luigi Publication : Oxford Clarendon press 2000 . XVIII-434 p. , Bibliogr. p. [419]-430. Index 25 cm Date : 2000 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Gradient flows in metric spaces and in the space of probability measures / par Ambrosio,, Luigi. Publication : [berlin.] Birkhuser Basel 2005 . 341 p. , 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. 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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