Calculus on a manifold with edge and boundary
type: Item
instance of: scholarly article
title: Calculus on a manifold with edge and boundary
zbMATH Open document ID: 1436.58022
author: S. Khalil
author: B.-W. Schulze
published in: Complex Analysis and Operator Theory
publication date: 2019-11-22T00:00:00Z
review text: The paper aims to establish a calculus of (pseudo-)differential operators on manifolds with edge singularities and boundary. There are numerous non-equivalent configurations with different choices of metrics. In this paper, cases with incomplete metrics are considered. For this purpose, compositions within the structure are studied via a new Mellin-edge quantization, which is also compared with a more traditional technique.
Mathematics Subject Classification ID: 58J40
Mathematics Subject Classification ID: 47L15
Mathematics Subject Classification ID: 35S15
zbMATH DE Number: 7135364
zbMATH Keywords: pseudo-differential operators
zbMATH Keywords: manifold with edge
zbMATH Keywords: Boutet de Monvel's algebra
zbMATH Keywords: Mellin quantization
reviewed by: D. Kapanadze
MaRDI profile type: Publication
full work available at URL: s11785-018-0800-y
OpenAlex ID: W2803310815
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DOI: 10.1007/S11785-018-0800-Y
description: scientific article; zbMATH DE number 7135364