Anisotropic edge problems
We investigate elliptic pseudodifferential operators which degenerate in an anisotropic way on a submanifold of arbitrary codimension. To find Fredholm problems for such operators we adjoint to them boundary and coboundary conditions on the submanifold.The algebra obtained this way is a far reaching...
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Universität Potsdam
2002
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| Online Access: | http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26280 http://opus.kobv.de/ubp/volltexte/2008/2628/ |
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ndltd-Potsdam-oai-kobv.de-opus-ubp-26282013-01-08T00:54:59Z Anisotropic edge problems Tarkhanov, Nikolai Mathematics We investigate elliptic pseudodifferential operators which degenerate in an anisotropic way on a submanifold of arbitrary codimension. To find Fredholm problems for such operators we adjoint to them boundary and coboundary conditions on the submanifold.The algebra obtained this way is a far reaching generalisation of Boutet de Monvel's algebra of boundary value problems with transmission property. We construct left and right regularisers and prove theorems on hypoellipticity and local solvability. Universität Potsdam Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik 2002 Preprint application/pdf urn:nbn:de:kobv:517-opus-26280 http://opus.kobv.de/ubp/volltexte/2008/2628/ eng http://opus.kobv.de/ubp/doku/urheberrecht.php |
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NDLTD |
| language |
English |
| format |
Others
|
| sources |
NDLTD |
| topic |
Mathematics |
| spellingShingle |
Mathematics Tarkhanov, Nikolai Anisotropic edge problems |
| description |
We investigate elliptic pseudodifferential operators which degenerate in an anisotropic way on a submanifold of arbitrary codimension. To find Fredholm problems for such operators we adjoint to them boundary and coboundary conditions on the submanifold.The algebra obtained this way is a far reaching generalisation of Boutet de Monvel's algebra of boundary value problems with transmission property. We construct left and right regularisers and prove theorems on hypoellipticity and local solvability. |
| author |
Tarkhanov, Nikolai |
| author_facet |
Tarkhanov, Nikolai |
| author_sort |
Tarkhanov, Nikolai |
| title |
Anisotropic edge problems |
| title_short |
Anisotropic edge problems |
| title_full |
Anisotropic edge problems |
| title_fullStr |
Anisotropic edge problems |
| title_full_unstemmed |
Anisotropic edge problems |
| title_sort |
anisotropic edge problems |
| publisher |
Universität Potsdam |
| publishDate |
2002 |
| url |
http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26280 http://opus.kobv.de/ubp/volltexte/2008/2628/ |
| work_keys_str_mv |
AT tarkhanovnikolai anisotropicedgeproblems |
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1716501711370059776 |