Lectures in Mathematics. ETH Zürich

Gradient Flows

In Metric Spaces and in the Space of Probability Measures

Authors: Ambrosio, Luigi, Gigli, Nicola, Savare, Giuseppe

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About this book

This book is devoted to a theory of gradient ?ows in spaces which are not nec- sarily endowed with a natural linear or di?erentiable structure. It is made of two parts, the ?rst one concerning gradient ?ows in metric spaces and the second one 2 1 devoted to gradient ?ows in the L -Wasserstein space of probability measures on p a separable Hilbert space X (we consider the L -Wasserstein distance, p? (1,?), as well). The two parts have some connections, due to the fact that the Wasserstein 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 ?rst one by the reader more interested to Non-Smooth Analysis and Analysis in Metric Spaces, and the second one by the reader more oriented to theapplications in Partial Di?erential Equations, Measure Theory and Probability.

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-7643-7309-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Gradient Flows
Book Subtitle
In Metric Spaces and in the Space of Probability Measures
Authors
Series Title
Lectures in Mathematics. ETH Zürich
Copyright
2005
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-7309-2
DOI
10.1007/b137080
Edition Number
1
Number of Pages
VII, 333
Topics