摘要
本文利用微分不等式和多重尺度,研究了一个高阶椭圆型偏微分方程奇摄动边值问题.并得到了一致有效的渐近展开式.
In this paper a singular perturbation of boundary value problem for elliptic partial differential equations of higher order is considered by using the differential inequalities and multiple scales. The uniformly valid asymptotic expansion in entire is obtained.
出处
《应用数学学报》
CSCD
北大核心
1997年第4期544-550,共7页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金
关键词
奇摄动
椭圆型方程
拟线性
边值问题
Differential inequalityl singular perturbation, asymptotic expansion,elliptic partial differential equation, boundary value problem