Analysis on regular corner spaces
type: Item
instance of: scholarly article
title: Analysis on regular corner spaces
zbMATH Open document ID: 1478.35111
author: S. Khalil
author: Der-Chen Chang
author: B.-W. Schulze
published in: The Journal of Geometric Analysis
publication date: 2021-08-31T00:00:00Z
review text: The paper is devoted to the differential and pseudo-differential calculus on spaces with singular geometry. In particular, a new approach of treating elliptic boundary value problems (BVPs) on manifolds with boundary and regular corners, up to singularity order 2 is established. Ellipticity and parametrices are obtained in terms of symbols taking values in algebras of BVPs on manifolds of corresponding lower singularity orders. The corresponding results on ellipticity and the Fredholm property are formulated in weighted corner spaces.
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35S35
Mathematics Subject Classification ID: 35J70
zbMATH DE Number: 7388961
zbMATH Keywords: Boutet de Monvel's calculus
zbMATH Keywords: pseudo-differential operators
zbMATH Keywords: singular cones
zbMATH Keywords: Mellin symbols with values in the edge calculus
zbMATH Keywords: parametrices of elliptic operators
reviewed by: D. Kapanadze
MaRDI profile type: Publication
full work available at URL: s12220-021-00614-3
OpenAlex ID: W3130073814
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Analysis on regular corner spaces (DOI)
DOI: 10.1007/S12220-021-00614-3

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