四阶椭圆型方程的角边界层现象  

Vertex Boundary Layer Phenomena for Fourth Order Elliptic Equation

作　　者：邹仁德 

机构地区：[1]福建省工商行政管理学校,福建福州350012

出　　处：《漳州师范学院学报（自然科学版）》2002年第3期49-52,共4页Journal of ZhangZhou Teachers College（Natural Science)

摘　　要：本文研究某类四阶椭圆型方程奇摄动边值问题解的角边界层现象。为了消除边界层函数在角点的影响,我们在角点的邻域构造角边界函数并给出有关的余项估计。Vertex boundary layer phenomena of solution of singularly perturbed boundary value problem for a kind of fourth order elliptic equation is studied in this paper. In order to remove the extra discrepancies introduced by the boundary layer functions, we construct vertex boundary functions which are used to close to the vertices and give the estimation of the remainder term.

关 键 词：四阶椭圆型方程 奇摄动 角边界层现象 边界层函数 角点 条项估计 形式渐近解 

分 类 号：O175.25[理学—数学] O241.82[理学—基础数学]