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Asymptotic expansions and numerical algorithms of eigenvalues and eigenfunctions of the Dirichlet problem for second order elliptic equations in perforated domains

✍ Scribed by Li-Qun Cao; Jun-Zhi Cui

Publisher
Springer-Verlag
Year
2004
Tongue
English
Weight
674 KB
Volume
96
Category
Article
ISSN
0029-599X

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On a Problem of BABUΕ KA (Stable Asymptot
On a Problem of BABUΕ KA (Stable Asymptotics of the Solution to the DIRICHLET Problem for Elliptic Equations of Second Order in Domains with Angular Points)
✍ Vladimir Maz'ya; JΓΌrgen Rossmann πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 738 KB

## Abstract We consider the DIRICHLET problem for linear elliptic differential equations with smooth real coefficients in a two‐dimensional domain with an angle point. We find an asymptotic representation of the solution near this point, which is stable under small variations of the angle.