Book Details

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

Publication year: 2008

: 978-3-7643-8722-8

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Devoted to a theory of gradient flows in spaces which are not necessarily endowed with a natural linear or differentiable structure, this book focuses on gradient flows in metric spaces. It covers gradient flows in the space of probability measures on a separable Hilbert space, endowed with the Kantorovich-Rubinstein-Wasserstein distance.


: Mathematics and Statistics, Gradient flows, Hilbert space, Maxima, Maximum, Measure theory, Metric spaces, Probability measures, Riemannian structures, calculus, differential equation, measure