Gradient Flows : In Metric Spaces and in the Space of Probability Measures

Luigi Ambrosio

ISBN 10: 3764387211 / ISBN 13: 9783764387211

Verlag: Birkhäuser Basel, 2008

Beschreibung

Druck auf Anfrage Neuware - Printed after ordering - 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.

Bestandsnummer des Verkäufers 9783764387211

Bibliografische Details

• Titel: Gradient Flows : In Metric Spaces and in the Space of Probability Measures
• Verlag: Birkhäuser Basel
• Erscheinungsjahr: 2008
• Sprache: Englisch
• ISBN-10: 3764387211
• ISBN-13: 9783764387211
• Einband: Taschenbuch
• Auflage: 2. Auflage
• Zustand: Neu
• Abmessungen: 240B x 168 H x 19 T Millimeter Breite: 240 mm, Höhe: 168 mm, Tiefe: 19 mm
• Gewicht: 585 Gramm

Über diesen Titel

Inhaltsangabe

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.