Corner operators with symbol hierarchies
type: Item
instance of: scholarly article
title: Corner operators with symbol hierarchies
zbMATH Open document ID: 1478.35249
author: S. Khalil
author: Der-Chen Chang
author: B.-W. Schulze
published in: Advances in Applied Clifford Algebras
publication date: 2021-08-20T00:00:00Z
review text: The authors develop a singular analysis that involves pseudo-differential operators on singular infinite straight cones. The operators themselves act on stratified spaces with geometric singularities of conical, edge, or higher corner type. Such singular spaces form categories \(\mathfrak{M}_k\), where \(k\) indicates the depth of the stratification. In particular, \(\mathfrak{M}_0\) consists of smooth-oriented manifolds. The case \(k = 1\) generally indicates conical or edge singularities. The paper presents an approach for studying operators on stratified spaces \(M\in \mathfrak{M}_k\) with regular singularities of higher-order \(k\).
Mathematics Subject Classification ID: 35S15
Mathematics Subject Classification ID: 35S35
Mathematics Subject Classification ID: 35J70
zbMATH DE Number: 7384105
zbMATH Keywords: Boutet de Monvel's calculus
zbMATH Keywords: stratified spaces
zbMATH Keywords: singular cones
zbMATH Keywords: Mellin symbols with values in the edge calculus
zbMATH Keywords: Kegel space
reviewed by: D. Kapanadze
MaRDI profile type: Publication
full work available at URL: s00006-021-01130-x
OpenAlex ID: W3166143953
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DOI: 10.1007/S00006-021-01130-X
description: scientific article; zbMATH DE number 7384105