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MR1650085 (99m:35224) 35Q55 (35B40 58F39)
Grinfeld, M.; Novick-Cohen, A. The viscous Cahn-Hilliard equation: Morse decomposition and structure of the global attractor. Trans. Amer. Math. Soc. 351 (1999), no. 6, 2375–2406.
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