Gradient Flows: In Metric Spaces and in the Space of Probability Measures (Lectures in Mathematics. ETH Zürich)
ISBN-13:
9783764387211
ISBN-10:
3764387211
Edition:
2nd
Author:
Luigi Ambrosio, Nicola Gigli, Giuseppe Savare
Publication date:
2008
Publisher:
Birkhäuser
Format:
Paperback
343 pages
Category:
Applied
,
Mathematics
FREE US shipping
Book details
ISBN-13:
9783764387211
ISBN-10:
3764387211
Edition:
2nd
Author:
Luigi Ambrosio, Nicola Gigli, Giuseppe Savare
Publication date:
2008
Publisher:
Birkhäuser
Format:
Paperback
343 pages
Category:
Applied
,
Mathematics
Summary
Gradient Flows: In Metric Spaces and in the Space of Probability Measures (Lectures in Mathematics. ETH Zürich) (ISBN-13: 9783764387211 and ISBN-10: 3764387211), written by authors
Luigi Ambrosio, Nicola Gigli, Giuseppe Savare, was published by Birkhäuser in 2008.
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Description
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.
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