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高阶拟线性椭圆型方程奇摄动问题
引用本文:莫嘉琪,张祥.高阶拟线性椭圆型方程奇摄动问题[J].应用数学学报,1997,20(4):544-550.
作者姓名:莫嘉琪  张祥
作者单位:安徽师范大学数学系,南京大学数学系 芜湖,241000,南京,210008
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摄动边值问题,并得到了一致有效的渐近展开式。

关 键 词:奇摄动  椭圆型方程  拟线性  边值问题

SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM FOR HIGHER ORDER QUASILINEAR ELLIPTIC EQUATIONS
MO JIAQI.SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM FOR HIGHER ORDER QUASILINEAR ELLIPTIC EQUATIONS[J].Acta Mathematicae Applicatae Sinica,1997,20(4):544-550.
Authors:MO JIAQI
Abstract: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.
Keywords:Differential inequalityl singular perturbation  asymptotic expansion  elliptic partial differential equation  boundary value problem
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