Gradient flows
Subtitle: in metric spaces and in the space of probability measures
By: Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré.
Contributors: Gigli, Nicola.; Savaré, Giuseppe.
Series: Lectures in mathematics ETH Zürich
Publisher: Birkhäuser
Published: 2005
Place of publication: Boston
Language: eng
Number of pages: 333
ISBN-13: 9783764324285
Subjects: Measure theory; Metric spaces; Differential equations, Parabolic; Monotone operators; Evolution equations, Nonlinear
Description: "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."--BOOK JACKET
Notes: Includes bibliographical references (p. [321]-329) and index.