Edge quantisation of elliptic operators
type: Item
instance of: scholarly article
title: Edge quantisation of elliptic operators
zbMATH Open document ID: 1171.35130
author: Nicoleta Dines
author: Xiaochun Liu
author: B.-W. Schulze
published in: Monatshefte für Mathematik
publication date: 2009-05-13T00:00:00Z
full work available at URL: 2004 24.pdf
review text: The paper is concerned with studying of elliptic pseudo-differential operators on a manifold with edges. The edge boundary value problems considered are generalization of \textit{L. Boutet de Monvel}'s calculus [Acta Math. 126, 11--51 (1971; Zbl 0206.39401)]. The main results concern the quantisation of ellipticity for a rather wide class of operators in weighted Sobolev spaces. Applications to Dirichlet-Neumann operators are considered and analogues of the Agranovich-Dynin formula for edge boundary value problems are given.
reviewed by: Petru A. Cojuhari
Mathematics Subject Classification ID: 35S05
Mathematics Subject Classification ID: 35J30
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 58J40
zbMATH DE Number: 5553487
zbMATH Keywords: pseudo-differential operators
zbMATH Keywords: manifolds with edges
zbMATH Keywords: quantisation
zbMATH Keywords: Dirichlet-Neumann operators
zbMATH Keywords: Agranovich-Dynin formula
MaRDI profile type: Publication
OpenAlex ID: W1966827809
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DOI: 10.1007/S00605-008-0058-Y
description: scientific article; zbMATH DE number 5553487