Some Properties of Solutions to a Second Order Elliptic Equation with Principal Part of Divergence Form with Potential Concentrated on a Hypersurface

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.