摘要
利用算子谱定理及规范化的Lyapunov-Schmidt约化方法,作者给出了一类Cahn-Hilliard方程产生次临界分歧和超临界分歧的精确判据,得到了分歧解的具体表达形式,并进一步讨论了分歧解的正则性.
In this paper, with spectrum theory and normalized Lyapunov-Schmidt reduction method, the criterion for subcritical bifurcation and supercritical bifurcation of the given Cahn-Hilliard equation is obtained, and also the exact solutions of the given equation are obtained. Furthermore, the regularity of solutions is also discussed.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2011年第4期729-732,共4页
Journal of Sichuan University(Natural Science Edition)
作者简介
张正丽（1982-），女，湖北武汉人，硕士，主要研究方向为微分方程与动力系统．E-mail：zhangzhengli77@126．com
