Home » Gradient Flows: In Metric Spaces And In The Space Of Probability Measures by Luigi Ambrosio
Gradient Flows: In Metric Spaces And In The Space Of Probability Measures Luigi Ambrosio

Gradient Flows: In Metric Spaces And In The Space Of Probability Measures

Luigi Ambrosio

Published June 1st 2008
ISBN : 9783764387211
Paperback
334 pages
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 About the Book 

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 manyMoreThe 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 PDEs 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.