Non-Fiction Books:

Gradient Flows

In Metric Spaces and in the Space of Probability Measures

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Gradient Flows by Luigi Ambrosio
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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. 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.
Release date NZ
March 13th, 2008
Country of Publication
2nd ed. 2008
IX, 334 p.
Birkhauser Verlag AG
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