Electron. J. Diff. Equ., Vol. 2009(2009), No. 125, pp. 1-21.

Asymptotic formulas for solutions of parameter-depending elliptic boundary-value problems in domains with conical points

Nguyen Thanh Anh, Nguyen Manh Hung

Abstract:
In this article, we study elliptic boundary-value problems, depending on a real parameter, in domains with conical points. We present asymptotic formulas for solutions near singular points, as linear combinations of special singular functions and regular functions. These functions and the coefficients of the linear combination are regular with respect to the parameter.

Submitted March 5, 2009. Published September 4, 2009.
Math Subject Classifications: 35J40, 35B40, 35P99, 47A55, 47A56.
Key Words: Elliptic boundary problem; nonsmooth domains; conical point; asymptotic behaviour.

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Nguyen Thanh Anh
Department of Mathematics
Hanoi National University of Education
Hanoi, Vietnam
email: thanhanh@hnue.edu.vn
Nguyen Manh Hung
Department of Mathematics
Hanoi National University of Education
Hanoi, Vietnam
email: hungnmmath@gmail.com

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