Asymptotic Expression of the Solution of General Boundary Value Problem for Higher Order Elliptic Equation with Perturbation Both in Boundary and in Operator

Lin Zong-chi

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Article Navigation > Applied Mathematics and Mechanics > 1982 > 3(1): 33-48

Lin Zong-chi. Asymptotic Expression of the Solution of General Boundary Value Problem for Higher Order Elliptic Equation with Perturbation Both in Boundary and in Operator[J]. Applied Mathematics and Mechanics, 1982, 3(1): 33-48.

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Asymptotic Expression of the Solution of General Boundary Value Problem for Higher Order Elliptic Equation with Perturbation Both in Boundary and in Operator

Lin Zong-chi

Department of Mathematics, Fujian Normal University, Fuzhou

Received Date: 1981-10-06
Publish Date: 1982-02-15

Abstract

Abstract

In this paper basing on [1] and [2], we study the singular perturbation of general boundary value problem for higher order elliptic equation with perturbation both in the boundary and in the operator, so as to establish the asymptotic expression involving two parameters. Thus, the iterative process of finding the asymptotic solution is derived and the estimation of the remainder term is given out, we extend and improve the previously published papers.

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References(5)

References

[1]	林宗池,四阶椭圆型方程在一股边界条件下的奇摄动,福建师大学报(自然科学版).1(1980),1-8.
[2]	林宗池,在一般边界条件下高阶椭圆型方程的奇摄动,福建师大学报,(自然科学版),2(1980),1-12.
[3]	Lions,J.L,and Magenes,E.,Non-I;omo eneous Boundary Value Problem and Applications,Springer-Verlag,New York,Heideberg,Berlin,(1972).
[4]	BesJes,J,G.,Singular perfurbation problem for linear elliptic differential operators of arbitrary order,J.Math.Annal.and Appl.,49(1975),24-46.
[5]	江福汝、高汝熹,高阶椭圆型方程一般边夜问题的奇摄动,科学通报,23(1979).1057-1061.