Download Gradient Flows: In Metric Spaces and in the Space of by Luigi Ambrosio,Nicola Gigli,Giuseppe Savare PDF

By Luigi Ambrosio,Nicola Gigli,Giuseppe Savare

This e-book is dedicated to a concept of gradient flows in areas which aren't unavoidably endowed with a usual linear or differentiable constitution. It involves components, the 1st one pertaining to gradient flows in metric areas and the second dedicated to gradient flows within the house of chance measures on a separable Hilbert area, endowed with the Kantorovich-Rubinstein-Wasserstein distance. the 2 elements have a few connections, on account that the distance of likelihood measures offers a tremendous version to which the 'metric' thought applies, however the ebook is conceived in this kind of manner that the 2 elements might be learn independently, the 1st one via the reader extra attracted to non-smooth research and research in metric areas, and the second by means of the reader extra oriented in the direction of the functions in partial differential equations, degree conception and probability.

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