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具有转向点超曲面的奇摄动椭圆型方程边值问题
引用本文:王庚.具有转向点超曲面的奇摄动椭圆型方程边值问题[J].数学季刊,2002,17(1):41-46.
作者姓名:王庚
作者单位:安徽机电学院应用数理系 安徽芜湖241000
摘    要:本文利用多重尺度法和比较定理,研究了n维空间中一类具有转向点超曲面的奇摄动椭圆方程边值问题,研究了该值问题解的渐近性态。

关 键 词:转向点  超曲面  奇摄动  椭圆型方程  边值问题

A Class of the Singularly Perturbed Boundary Value Problems for Elliptic Equation with a Super Surface of Turning Point in n-dimensional Space
WANG Geng.A Class of the Singularly Perturbed Boundary Value Problems for Elliptic Equation with a Super Surface of Turning Point in n-dimensional Space[J].Chinese Quarterly Journal of Mathematics,2002,17(1):41-46.
Authors:WANG Geng
Abstract:In this paper, we study a class singular perturbed elliptic equation boundary value problem with a super surface of turning point in n-dimensional space by using the method of multiple scales and the comparison theorem. The uniformly valid asymptotic approxmations of solutions for the boundary value problem is constructed.
Keywords:singular perturbation  turning point  elliptic equation  
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