Singular behavior of elliptic problems in non Hilbertian Sobolev spaces
type: Item
instance of: scholarly article
title: Singular behavior of elliptic problems in non Hilbertian Sobolev spaces
zbMATH Open document ID: 0854.35018
author: Pierre Grisvard
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 1997-01-20T00:00:00Z
review text: An elliptic boundary value problem in nonsmooth domains, which contain corners, edges and vertices, is considered. Using the theory of sums of operators in Banach spaces, the author derives some optimal regularity and singularity results for solutions in the Sobolev spaces built on \(L^p\) with general \(p\).
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 891033
zbMATH Keywords: nonsmooth domain
zbMATH Keywords: optimal regularity
zbMATH Keywords: singularity
reviewed by: Ding Hua
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 891033