具有转向点的四阶椭圆型方程的奇摄动

Singular Perturbation for Fourth Order Elliptic Equation with Turning Points

本文用两变量展开直接构造边界层的方法研究椭圆型方程的转向点问题,并对一类方程作出M阶一致有效解及余项估计。

In this paper, we apply a method using the two variables expansion to construct boundary-layer, and study one kind of fourth order elliptic equations with turning points. We give its uniformly valid solutions up to M-th order and estimation of related remainder term.