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MR3051737 58J35 (35K55 49Q20)
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe Heat flow and calculus on metric measure spaces with Ricci curvature bounded below—the compact case. Boll. Unione Mat. Ital. (9) 5 (2012), no. 3, 575–629.
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