摘要
本文考虑一类二阶半线性椭圆型方程的Dirichlet问题在边界摄动情况下的边界层现象。运用多参数展开法简捷地构造微分不等式,得到解的存在性及高阶一致有效渐近解。
In the paper, we study the singular perturbation phenomena-boundary layer, for a class of semilinear elliptic Dirichlet problem with two parameters both in operator and in boundary, and use the differential inequality theory to obtain the existence of the exact solution for the problem and its high order asymptotic expansion which is valid uniformly in the domain.
出处
《福建师范大学学报（自然科学版）》
CAS
CSCD
1989年第2期8-15,共8页
Journal of Fujian Normal University：Natural Science Edition
关键词
边界摄动
椭圆型方程
边界
半线性
boundary perturbation, semilinear, boundary layer, uniformly valid, asymptotic expansion, estimation of the remainder
