Periodic solutions of a multi-dimensional Cahn-Hilliard equation
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Date
2016-01-29
Authors
Liu, Ji
Wang, Yifu
Zheng, Jiashan
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This 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].
Description
Keywords
Periodic solutions, Cahn-Hilliard equation, Viscosity approach, Schauder fixed point theorem
Citation
Liu, 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.
Rights
Attribution 4.0 International