Periodic solutions of a multi-dimensional cahn-hilliard equation

Ji Liu; Yifu Wang; Jiashan Zheng

Periodic solutions of a multi-dimensional cahn-hilliard equation

Ji Liu^*, Yifu Wang, Jiashan Zheng

^*此作品的通讯作者

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

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].

源语言	英语
文章编号	42
期刊	Electronic Journal of Differential Equations
卷	2016
出版状态	已出版 - 29 1月 2016

其它文件与链接

链接到 Scopus 的出版物

引用此

Liu, J., Wang, Y., & Zheng, J. (2016). Periodic solutions of a multi-dimensional cahn-hilliard equation. Electronic Journal of Differential Equations, 2016, 文章 42.

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AU - Liu, Ji

AU - Wang, Yifu

AU - Zheng, Jiashan

PY - 2016/1/29

Y1 - 2016/1/29

N2 - 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].

AB - 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].

KW - Cahn-Hilliard equation

KW - Periodic solutions

KW - Schauder fixed point theorem

KW - Viscosity approach

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JO - Electronic Journal of Differential Equations

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Periodic solutions of a multi-dimensional cahn-hilliard equation

摘要

其它文件与链接

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