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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