Asymptotic Solution of Singular Perturbation Problems for the Fourth-Order Elliptic Differential Equations

Su Yu-cheng; Liu Guo-qing

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Article Navigation > Applied Mathematics and Mechanics > 1990 > 11(7): 597-610

Su Yu-cheng, Liu Guo-qing. Asymptotic Solution of Singular Perturbation Problems for the Fourth-Order Elliptic Differential Equations[J]. Applied Mathematics and Mechanics, 1990, 11(7): 597-610.

Citation:

Su Yu-cheng, Liu Guo-qing. Asymptotic Solution of Singular Perturbation Problems for the Fourth-Order Elliptic Differential Equations[J]. Applied Mathematics and Mechanics, 1990, 11(7): 597-610.

Citation:

Su Yu-cheng, Liu Guo-qing. Asymptotic Solution of Singular Perturbation Problems for the Fourth-Order Elliptic Differential Equations[J]. Applied Mathematics and Mechanics, 1990, 11(7): 597-610.

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Asymptotic Solution of Singular Perturbation Problems for the Fourth-Order Elliptic Differential Equations

Nanjing University, Nanjing

Received Date: 1989-09-05
Publish Date: 1990-07-15

Abstract

Abstract

In this paper we consider the singularly perturbed boundary value problem for the fourth-order elliptic differential equation,establish the energy estimates of the solutionand its derivatives and construct the formal asymptotic solution by Lyuternik-Vishik's method.Finally,by means of the energy estimates we obtain the bound of the remainder of the asymptotic solution.

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References(4)

References

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[3]	苏握城,《奇异摄动中的边界层校正法》,上海科技出版社(1983).
[4]	Ladyzhenskaya,O.A.,The Boundary Problems of Mathematical Physics,Springer-verlag,(1985).