Gradient Flows
In Metric Spaces and in the Space of Probability Measures
Luigi Ambrosio author Nicola Gigli author Giuseppe Savaré author
Format:Paperback
Publisher:Birkhauser Verlag AG
Published:13th Mar '08
Currently unavailable, and unfortunately no date known when it will be back
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.
ISBN: 9783764387211
Dimensions: unknown
Weight: 591g
334 pages
2nd ed. 2008