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)

✍ Scribed by Vladimir Maz'ya; Jürgen Rossmann

• Publisher: John Wiley and Sons
• Year: 1992
• Tongue: English
• Weight: 738 KB
• Volume: 155
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.19921550115

✦ Synopsis

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.