Liu, JiWang, YifuZheng, Jiashan2023-06-122023-06-122016-01-29Liu, J., Wang, Y., & Zheng, J. (2016). Periodic solutions of a multi-dimensional Cahn-Hilliard equation. Electronic Journal of Differential Equations, 2016(42), pp. 1-23.1072-6691https://hdl.handle.net/10877/16916This article concerns a multi-dimensional Cahn-Hilliard equation subject to Neumann boundary condition. We show existence of the periodic solutions by using the viscosity approach. By applying the Schauder fixed point theorem, we show existence of the solutions to the suitable approximate problem and then obtain the solutions of the considered periodic problem using a priori estimates. Our results extend those in [20].Text23 pages1 file (.pdf)enAttribution 4.0 InternationalPeriodic solutionsCahn-Hilliard equationViscosity approachSchauder fixed point theoremArticle