Gradient Flows: Second Edition, In Metric Spaces and in the Space of Probability Measures (Lectures in Mathematics. ETH Zürich) - Couverture souple

Ambrosio, Luigi

 
9783764387211: Gradient Flows: Second Edition, In Metric Spaces and in the Space of Probability Measures (Lectures in Mathematics. ETH Zürich)

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. 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9783764324285: Gradient Flows: In Metric Spaces And In The Space Of Probability Measures

Edition présentée

ISBN 10 :  3764324287 ISBN 13 :  9783764324285
Editeur : Birkhauser Verlag AG, 2004
Couverture souple