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MR2255281 (2007k:35255) 35K57 (35B40 35K15)
Carrillo, J. A.; Di Francesco, M.; Toscani, G. Strict contractivity of the 2-Wasserstein distance for the porous medium equation by mass-centering. Proc. Amer. Math. Soc. 135 (2007), no. 2, 353–363.
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