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The spectrum of a parametrized partial differential operator occurring in hydrodynamics

The spectrum of a parametrized partial differential operator occurring in hydrodynamics

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DENK, Robert, Manfred MÖLLER, Christiane TRETTER, 2002. The spectrum of a parametrized partial differential operator occurring in hydrodynamics. In: Journal of the London Mathematical Society. 65, pp. 483-492

@article{Denk2002spect-747, title={The spectrum of a parametrized partial differential operator occurring in hydrodynamics}, year={2002}, doi={10.1112/S0024610701002964}, volume={65}, journal={Journal of the London Mathematical Society}, pages={483--492}, author={Denk, Robert and Möller, Manfred and Tretter, Christiane} }

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/747"> <dcterms:abstract xml:lang="eng">An operator family of densely defined closed linear operators and the A partial differential operator associated with natural oscillations of an incompressible fluid in the neighbourhood of an elliptical flow is considered. The differentiation is only taken with respect to the angular variable, and thus the operator becomes a family of ordinary differential operators parametrized by the radial variable. It is shown that the spectra of these ordinary differential operators completely determine the spectrum of the given operator which turns out to have a kind of skeleton structure.</dcterms:abstract> <dc:language>eng</dc:language> <dc:creator>Tretter, Christiane</dc:creator> <dc:rights>deposit-license</dc:rights> <dcterms:bibliographicCitation>First publ. in: Journal of the London Mathematical Society 65 (2002), pp. 483-492</dcterms:bibliographicCitation> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:44Z</dcterms:available> <dc:contributor>Tretter, Christiane</dc:contributor> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:44Z</dc:date> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/747"/> <dc:contributor>Möller, Manfred</dc:contributor> <dc:creator>Denk, Robert</dc:creator> <dcterms:title>The spectrum of a parametrized partial differential operator occurring in hydrodynamics</dcterms:title> <dcterms:rights rdf:resource="https://creativecommons.org/licenses/by-nc-nd/2.0/legalcode"/> <dc:contributor>Denk, Robert</dc:contributor> <dc:creator>Möller, Manfred</dc:creator> <dc:format>application/pdf</dc:format> <dcterms:issued>2002</dcterms:issued> </rdf:Description> </rdf:RDF>

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