An algebra of meromorphic corner symbols
Operators on manifolds with corners that have base configurations with geometric singularities can be analysed in the frame of a conormal symbolic structure which is in spirit similar to the one for conical singularities of Kondrat'ev's work. Solvability of elliptic equations and asymptoti...
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ndltd-Potsdam-oai-kobv.de-opus-ubp-26362013-01-08T00:55:06Z An algebra of meromorphic corner symbols Maniccia, L. Schulze, Bert-Wolfgang Mathematics Operators on manifolds with corners that have base configurations with geometric singularities can be analysed in the frame of a conormal symbolic structure which is in spirit similar to the one for conical singularities of Kondrat'ev's work. Solvability of elliptic equations and asymptotics of solutions are determined by meromorphic conormal symbols. We study the case when the base has edge singularities which is a natural assumption in a number of applications. There are new phenomena, caused by a specific kind of higher degeneracy of the underlying symbols. We introduce an algebra of meromorphic edge operators that depend on complex parameters and investigate meromorphic inverses in the parameter-dependent elliptic case. Among the examples are resolvents of elliptic differential operators on manifolds with edges. Universität Potsdam Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik 2002 Preprint application/pdf urn:nbn:de:kobv:517-opus-26360 http://opus.kobv.de/ubp/volltexte/2008/2636/ eng http://opus.kobv.de/ubp/doku/urheberrecht.php |
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English |
format |
Others
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Mathematics |
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Mathematics Maniccia, L. Schulze, Bert-Wolfgang An algebra of meromorphic corner symbols |
description |
Operators on manifolds with corners that have base configurations with geometric singularities can be analysed in the frame of a conormal symbolic structure which is in spirit similar to the one for conical singularities of Kondrat'ev's work. Solvability of elliptic equations and asymptotics of solutions are determined by meromorphic conormal symbols. We study the case when the base has edge singularities which is a natural assumption in a number of applications. There are new phenomena, caused by a specific kind of higher degeneracy of the underlying symbols. We introduce an algebra of meromorphic edge operators that depend on complex parameters and investigate meromorphic inverses in the parameter-dependent elliptic case. Among the examples are resolvents of elliptic differential operators on manifolds with edges. |
author |
Maniccia, L. Schulze, Bert-Wolfgang |
author_facet |
Maniccia, L. Schulze, Bert-Wolfgang |
author_sort |
Maniccia, L. |
title |
An algebra of meromorphic corner symbols |
title_short |
An algebra of meromorphic corner symbols |
title_full |
An algebra of meromorphic corner symbols |
title_fullStr |
An algebra of meromorphic corner symbols |
title_full_unstemmed |
An algebra of meromorphic corner symbols |
title_sort |
algebra of meromorphic corner symbols |
publisher |
Universität Potsdam |
publishDate |
2002 |
url |
http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26360 http://opus.kobv.de/ubp/volltexte/2008/2636/ |
work_keys_str_mv |
AT maniccial analgebraofmeromorphiccornersymbols AT schulzebertwolfgang analgebraofmeromorphiccornersymbols AT maniccial algebraofmeromorphiccornersymbols AT schulzebertwolfgang algebraofmeromorphiccornersymbols |
_version_ |
1716501714332286976 |