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

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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Bibliographische Detailangaben
1. Verfasser: Ambrosio, Luigi (VerfasserIn)
Weitere Verfasser: Gigli, Nicola (VerfasserIn), Savaré, Giuseppe (VerfasserIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: Basel ; Boston ; Berlin Birkhäuser 2008
Ausgabe:Second Edition
Schriftenreihe:Lectures in mathematics ETH Zürich
Schlagworte:
Measure theory > Metric spaces > Differential equations, Parabolic > Monotone operators > Evolution equations, Nonlinear > Gradientenfluss > Potenzialfeld > Metrischer Raum > Maßraum > Fluss > Wahrscheinlichkeitsmaß
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Beschreibung
Zusammenfassung: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.
Beschreibung:Includes bibliographical references and index
Beschreibung:vii, 334 Seiten
ISBN:9783764387211
978-3-7643-8721-1