奇摄动椭圆型方程第一边值问题的边界层—内层现象

BOUNDARY-INTERIOR LAYER INTERACTIONS IN THE FIRST BOUNDARYVALUEPROBLEM FOR SINGULARLY PERTURBED ELLIPTIC EQUATION

本文讨论椭圆型方程第一边值问题的边界层-内层现象.利用渐近方法,我们得到了摄动解的存在性及其直到的一致有效的渐近展开式。

This paper deals with the boundary-interior layer interactions in the first boundary value problem for elliptic equation. Using the asymptotic method of JLocTepHHK BUWUK, we get the existence of the solution and its asymptotic expansions which is uniformly valid until the order of O(ε^(2m+2).