Item description for Gradient Flows: In Metric Spaces and in the Space of Probability Measures (Lectures in Mathematics. ETH Zürich) by Luigi Ambrosio, Nicola Gigli & Giuseppe Savare...
This book is devoted to a theory of gradient flows in spaces which are not necessarily endowed with a natural linear or differentiable structure. It consists of two parts, the first one concerning gradient flows in metric spaces and the second one devoted to gradient flows in the space of probability measures on a separable Hilbert space, endowed with the Kantorovich-Rubinstein-Wasserstein distance.
The two parts have some connections, due to the fact that the space of probability measures provides an important model to which the "metric" theory applies, but the book is conceived in such a way that the two parts can be read independently, the first one by the reader more interested in non-smooth analysis and analysis in metric spaces, and the second one by the reader more orientated towards the applications in partial differential equations, measure theory and probability.
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Est. Packaging Dimensions: Length: 1" Width: 6.75" Height: 9.25" Weight: 1.45 lbs.
Release Date Apr 28, 2008
Publisher Birkhäuser Basel
ISBN 3764387211 ISBN13 9783764387211
Availability 0 units.
More About Luigi Ambrosio, Nicola Gigli & Giuseppe Savare
Luigi Ambrosio is Adjunct Professor of Biomaterials at University of Naples "Federico II'. His principal research interest include design and characterisation of polymers and composites for medical applications and tissue engineering, rheology of biological fluids, structural properties of natural tissue, processing of polymers and composites, hydrogels and biodegradable polymers.
Luigi Ambrosio currently resides in Pisa. Luigi Ambrosio was born in 1955 and has an academic affiliation as follows - Scuola Normale Superiore, Pisa.