MULTIPLE BOUNDARY LAYER PHENOMENA OF THE SOLUTION OF NONLINEAR HIGHER ORDER ELLIPTIC EQUATIONS WITH PERTURBATION BOTH IN BOUNDARY AND IN OPERATOR

数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (1): 56-63.

MULTIPLE BOUNDARY LAYER PHENOMENA OF THE SOLUTION OF NONLINEAR HIGHER ORDER ELLIPTIC EQUATIONS WITH PERTURBATION BOTH IN BOUNDARY AND IN OPERATOR

林苏榕¹, 林宗池²

1. Mathematical Section, Fujian Broadcasting TV University, Fuzhou 350003, China;
2. Department of Mathematics, Fujian Normal University, Fuzhou 580007, China

收稿日期:1995-05-01 修回日期:1995-08-20 出版日期:1997-03-25 发布日期:1997-03-25
基金资助:
The project supported by Fujian Province and National Natural Science Foundation of China.

MULTIPLE BOUNDARY LAYER PHENOMENA OF THE SOLUTION OF NONLINEAR HIGHER ORDER ELLIPTIC EQUATIONS WITH PERTURBATION BOTH IN BOUNDARY AND IN OPERATOR

Lin Surong¹, Lin Zongchi²

1. Mathematical Section, Fujian Broadcasting TV University, Fuzhou 350003, China;
2. Department of Mathematics, Fujian Normal University, Fuzhou 580007, China

Received:1995-05-01 Revised:1995-08-20 Online:1997-03-25 Published:1997-03-25
Supported by:
The project supported by Fujian Province and National Natural Science Foundation of China.

摘要/Abstract

摘要： In this paper, we reveal the multiple boundary layer phenomena of the solution of nonlinear higher order elliptic equations with perturbation both in boundary and in operator, and provide a method to find uniformly valid asymptotic solution of arbitrary order for these types of problems.

关键词: higher order elliptic equations, perturbation both in boundary and in operator, multiple boundary layer phenomena

Abstract: In this paper, we reveal the multiple boundary layer phenomena of the solution of nonlinear higher order elliptic equations with perturbation both in boundary and in operator, and provide a method to find uniformly valid asymptotic solution of arbitrary order for these types of problems.

Key words: higher order elliptic equations, perturbation both in boundary and in operator, multiple boundary layer phenomena

林苏榕, 林宗池. MULTIPLE BOUNDARY LAYER PHENOMENA OF THE SOLUTION OF NONLINEAR HIGHER ORDER ELLIPTIC EQUATIONS WITH PERTURBATION BOTH IN BOUNDARY AND IN OPERATOR[J]. 数学物理学报(英文版), 1997, 17(1): 56-63.

Lin Surong,Lin Zongchi. MULTIPLE BOUNDARY LAYER PHENOMENA OF THE SOLUTION OF NONLINEAR HIGHER ORDER ELLIPTIC EQUATIONS WITH PERTURBATION BOTH IN BOUNDARY AND IN OPERATOR[J]. Acta mathematica scientia,Series B, 1997, 17(1): 56-63.

MULTIPLE BOUNDARY LAYER PHENOMENA OF THE SOLUTION OF NONLINEAR HIGHER ORDER ELLIPTIC EQUATIONS WITH PERTURBATION BOTH IN BOUNDARY AND IN OPERATOR

MULTIPLE BOUNDARY LAYER PHENOMENA OF THE SOLUTION OF NONLINEAR HIGHER ORDER ELLIPTIC EQUATIONS WITH PERTURBATION BOTH IN BOUNDARY AND IN OPERATOR

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