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.
- ISBN10 376438722X
- ISBN13 9783764387228
- Publish Date December 2008 (first published July 2004)
- Publish Status Active
- Publish Country CH
- Imprint Birkhauser Verlag AG
- Edition 2nd Revised edition
- Format eBook
- Pages 333
- Language English