Abstract
The importance of geodesically convex functionals in Wasserstein spaces was firstly pointed out by McCann [111], who introduced the three basic examples we will discuss in detail in 9.3.1, 9.3.4, 9.3.6. His original motivation was to prove the uniqueness of the minimizer of an energy functional which results from the sum of the above three contributions.
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© 2008 Birkhäuser Verlag AG
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(2008). Convex Functionals in 
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(X).
In: Gradient Flows. Lectures in Mathematics ETH Zürich. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8722-8_11
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DOI: https://doi.org/10.1007/978-3-7643-8722-8_11
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8721-1
Online ISBN: 978-3-7643-8722-8
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