Periodic solutions of a multi-dimensional Cahn-Hilliard equation

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. <i>Electronic Journal of Differential Equations, 2016</i>(42), pp. 1-23.

Rights

Attribution 4.0 International

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