Periodic solutions to the Cahn-Hilliard equation with constraint

被引：3

作者：

Wang, Yifu ^{[1
]}

Zheng, Jiashan ^{[1
]}

机构：

[1] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 04期

关键词：

periodic solution; Cahn-Hilliard equation; constraint; subdifferential operator; Schauder fixed point theorem; NONLINEAR EVOLUTION-EQUATIONS; GRADIENT-DEPENDENT POTENTIALS; EXISTENCE;

D O I：

10.1002/mma.3506

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the multidimensional Cahn-Hilliard equation with a constraint. The existence of periodic solutions of the problem is mainly proved under consideration by the viscosity approach. More precisely, with the help of the subdifferential operator theory and Schauder fixed point theorem, the existence of solutions to the approximation of the original problem is shown, and then the solution is obtained by using a passage-to-limit procedure based on a prior estimate. Copyright (c) 2015 John Wiley & Sons, Ltd.

引用

页码：649 / 660

页数：12

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