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Cahn-Hilliard equation with terms of lower order and non-constant mobility. (English) Zbl 1032.35076

Summary: 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.

MSC:

35K35 Initial-boundary value problems for higher-order parabolic equations
35K55 Nonlinear parabolic equations
82B26 Phase transitions (general) in equilibrium statistical mechanics
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