Vishik-Lyusternik method for elliptic boundary-value problems in domains with conical point. III. Problem with degeneracy at a conical point
type: Item
instance of: scholarly article
title: Vishik-Lyusternik method for elliptic boundary-value problems in domains with conical point. III. Problem with degeneracy at a conical point
zbMATH Open document ID: 0593.35049
DOI: 10.1007/BF00968946
published in: Siberian Mathematical Journal
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/62500
review text: [For part II see ibid. 22, 753-769 (1982); translation from Sib. Math. Zh. 22, 132-152 (1981; Zbl 0479.35033).] The author studies elliptic boundary value problems degenerating at a conical point of the boundary into a boundary value problem of lower order. A modified Vishik-Lyusternik method is used for the construction of a boundary layer which is induced by the degeneracy. The problem is formulated as an operator equation in certain weighted spaces. Necessary and sufficient conditions are given under which Noether theorems for the corresponding operator hold.
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35J40
zbMATH DE Number: 3953372
zbMATH Keywords: degenerate elliptic equation
zbMATH Keywords: conical point
zbMATH Keywords: boundary layer
zbMATH Keywords: Noether theorems
author: Sergei A. Nazarov
reviewed by: Milan Kučera
MaRDI profile type: Publication
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OpenAlex ID: W1984798521
description: scientific article; zbMATH DE number 3953372