Logo - springer
Slogan - springer

Birkhäuser - Birkhäuser Mathematics | 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

2nd ed. 2008, IX, 334 p.

A product of Birkhäuser Basel
Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$49.95

(net) price for USA

ISBN 978-3-7643-8722-8

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

Softcover
Information

Softcover (also known as softback) version.

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$69.95

(net) price for USA

ISBN 978-3-7643-8721-1

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • Originating from lectures by L. Ambrosio at the ETH Zürich in Fall 2001
  • Substantially extended and revised in cooperation with the co-authors
  • Serves as textbook and reference book on the topic
  • Presented as much as possible in a self-contained way
  • Contains new results that have never appeared elsewhere

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. However, 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.

Content Level » Research

Keywords » Gradient flows - Hilbert space - Maxima - Maximum - Measure theory - Metric spaces - Probability measures - Riemannian structures - calculus - differential equation - measure

Related subjects » Birkhäuser Applied Probability and Statistics - Birkhäuser Mathematics

Table of contents / Preface 

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Analysis.