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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| Format: | Others |
| Language: | English |
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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/ |
| Summary: | 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. |
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