Cahn-Hilliard Equation with Terms of Lower Order and Non-constant Mobility

In this paper, we study the global existence of classical solutions for the Cahn-Hilliard equation with terms of lower order and non-constant mobility. Based on the Schauder type estimates, under some assumptions on the mobility and terms of lower order, we establish the global existence of classical solutions. Keywords. Cahn-Hilliard equation, Existence, Uniqueness. AMS Classication: 35K55, 35Q99, 35K25, 82B26

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