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Solution of the dirichlet problem for the equation Δu-cu = −q by a model of “walks on spheres”

✍ Scribed by B.S. Elepov; G.A. Mikhailov

Publisher
Elsevier Science
Year
1969
Weight
549 KB
Volume
9
Category
Article
ISSN
0041-5553

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On a Problem of BABUŠKA (Stable Asymptot
On a Problem of BABUŠKA (Stable Asymptotics of the Solution to the DIRICHLET Problem for Elliptic Equations of Second Order in Domains with Angular Points)
✍ Vladimir Maz'ya; Jürgen Rossmann 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 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.