Gradient flows : in metric spaces and in the space of probability measures

Looking at the theory of gradient flows in spaces which are not necessarily endowed with a natural linear or differentiable structure, this text covers gradient flows in the space of probability measures on a separable Hilbert space, endowed with the Kantorovich-Rubinstein-Wasserstein distance and g...

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Bibliographic Details
Main Authors: Ambrosio, Luigi., Gigli, Nicola., Savaré, Giuseppe.
Format: Book
Language:English
Published: Springer 2017
Subjects:
Online Access:http://repository.vnu.edu.vn/handle/VNU_123/31770
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Institution: Vietnam National University, Hanoi
Language: English
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Summary:Looking at the theory of gradient flows in spaces which are not necessarily endowed with a natural linear or differentiable structure, this text covers gradient flows in the space of probability measures on a separable Hilbert space, endowed with the Kantorovich-Rubinstein-Wasserstein distance and gradient flows in metric spaces.