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"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
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1 edition- Other · German · 2005Birkhäuser · 333 pages · 9783764324285
Measure theoryMetric spacesMonotone operatorsNonlinear Evolution equationsParabolic Differential equations