摘要
本文讨论了一类二阶拟线性椭圆型方程的奇摄动问题,给出了外部解和边界层项的N阶递推方程,并对余项进行了估计,从而导得了解的渐近展开式和摄动问题解的存在唯一性.
The paper discusses the singular pertubation problem of 2-order quasilinear elliptic equation:The outer solution and N-order recurrence equation of boundary layer term are given, and the remainder terms are estimated. The asymptotic expansion of the solution and existence and uniqueness of the singular pertubation problem are obtained. Finally, the singular pertubation problem: is also discussed in this paper.
出处
《应用数学》
CSCD
北大核心
1993年第2期129-135,共7页
Mathematica Applicata
关键词
奇摄动
椭圆型方程
拟线性
Singular pertubation
Asymptotic solution
Estimation of remainder
