Gradient Flows pp 201-225 | Cite as

Convex Functionals in Open image in new windowp(X)

Part of the Lectures in Mathematics ETH Zürich book series (LM)


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.


Relative Entropy Separable Hilbert Space Borel Probability Measure Optimal Transport Lower Semicontinuous Function 
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© Birkhäuser Verlag AG 2008

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