Gradient Flows in Metric Spaces and in the Space of Probability Measures /

• Main Authors: Ambrosio, Luigi (Author), Gigli, Nicola (Author), Savaré, Giuseppe (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2005.
• Series: Lectures in Mathematics ETH Zürich
• Subjects: Mathematics.; Measure theory.; Differential geometry.; Probabilities.; Measure and Integration.; Differential Geometry.; Probability Theory and Stochastic Processes.

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...