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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Gradient Flows: In Metric Spaces and in the Space of Probability Measures

Gradient Flows: In Metric Spaces and in the Space of Probability Measures

Ambrosio, Luigi
Gigli, Nicola
Savare, Giuseppe

Paperback

Series: Lectures in Mathematics. Eth Zürich

CalculusGeneral MathematicsGeometry

ISBN10: 3764387211
ISBN13: 9783764387211
Publisher: Birkhauser
Published: Mar 13 2008
Pages: 334
Weight: 1.50
Height: 0.70 Width: 6.60 Depth: 9.30
Language: English

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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