Gradient Flows : In Metric Spaces and in the Space of Probability Measures
Second Edition 2008
Book Details
Format
Paperback / Softback
Book Series
Lectures in Mathematics. ETH Zurich
ISBN-10
3764387211
ISBN-13
9783764387211
Edition
Second Edition 2008
Publisher
Birkhauser Verlag AG
Imprint
Birkhauser Verlag AG
Country of Manufacture
CH
Country of Publication
GB
Publication Date
Mar 13th, 2008
Print length
334 Pages
Weight
610 grams
Dimensions
17.30 x 24.50 x 2.10 cms
Product Classification:
Calculus & mathematical analysisCalculus and mathematical analysis
Ksh 19,800.00
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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 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.
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