On the behaviour of solutions to the Dirichlet problem for second order elliptic equations near edges and polyhedral vertices with critical angles
type: Item
instance of: scholarly article
title: On the behaviour of solutions to the Dirichlet problem for second order elliptic equations near edges and polyhedral vertices with critical angles
zbMATH Open document ID: 0802.35034
DOI: 10.4171/ZAA/527
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1994-04-12T00:00:00Z
review text: The authors treat the Dirichlet problem for second order linear elliptic equations in domains with singular boundary and especially in domains in \(\mathbb{R}^ n\) with smooth \((n-2)\)-dimensional edges of the boundary. Detailed asymptotic expansions of the solution near the edges are proved also in the case where logarithmic terms are present and in the case of an ``edge'' where the angle along this edge runs through the critical values.
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35C20
zbMATH DE Number: 549185
zbMATH Keywords: corners
zbMATH Keywords: asymptotic expansions near edges
zbMATH Keywords: singular boundary
author: V. Maz'ya
author: J. Rossmann
reviewed by: G. Dziuk
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 549185