Ji Liu, Yifu Wang, Jiashan Zheng
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].
Submitted August 7, 2014. Published January 29, 2016.
Math Subject Classifications: 35K25, 35B10, 35A01.
Key Words: Periodic solutions; Cahn-Hilliard equation; viscosity approach;
Schauder fixed point theorem.
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Ji Liu School of Mathematics and Statistics Beijing Institute of Technology Beijing 100081, China email: cau_lj@126.com, phone 18811789567 |
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| Yifu Wang School of Mathematics and Statistics Beijing Institute of Technology Beijing 100081, China email: wangyifu@bit.edu.cn | |
| Jiashan Zheng School of Mathematics and Statistics Beijing Institute of Technology Beijing 100081, China email: zhengjiashan2008@163.com |
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