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

Ambrosio, Luigi,Gigli, Nicola,Savare, Giuseppe

ISBN 10: 3764387211 / ISBN 13: 9783764387211

Published by Birkhäuser, 2008

About this Item

Seller Inventory # 9783764387211-2-2

Bibliographic Details

Title: Gradient Flows: In Metric Spaces and in the ...

Publisher: Birkhäuser

Publication Date: 2008

Binding: Soft cover

Condition: Very good

Edition: 2nd Edition

About this title

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. The book originates from lectures by L. Ambrosio at the ETH Zürich in Fall 2001. It contains new results that have never appeared elsewhere. The book has been substantially extended and revised in cooperation with the co-authors. 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.