Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (1): 77-90.

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SINGULARLY PERTURBED SEMILINEAR ELLIPTIC EQUATION WITH BOUNDARY-INTERIOR LAYER INTERACTION

Zhou Zhe-yan   

  1. Department of Mechanics, Fujian Normal University, Fuzhou
  • Received:1989-11-13 Online:1992-01-18 Published:1992-01-18

Abstract: In this paper, we consider the phenomenon of the boundary and interior layer interactions for a class of semilinear elliptic equation. Under some appropriate conditions, we get the existence of the exact solution for the problem and its high order uniformly valid expansion.

Key words: boundary layer, interior layer, semilinear elliptic equation

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