Boundary value problems for a class of elliptic operator pencils

dc.contributor.authorDenk, Robert
dc.contributor.authorMennicken, Reinharddeu
dc.contributor.authorVolevič, Leonid R.deu
dc.date.accessioned2011-03-22T17:45:34Zdeu
dc.date.available2011-03-22T17:45:34Zdeu
dc.date.issued2000deu
dc.description.abstractAn operator family of densely defined closed linear operators and the In this paper operator pencils depending polynomially on the spectral parameter are studied which act on a manifold with boundary and satisfy the condition of N -ellipticity with parameter, a generalization of the notion of ellipticity with parameter as introduced by Agmon and Agranovich-Vishik. Sobolev spaces corresponding to a Newton polygon are defined and investigated; in particular it is possible to describe their trace spaces. With respect to these spaces, an a priori estimate holds for the Dirichlet boundary value problem connected with an N-elliptic pencil, and a right parametrix is constructed.eng
dc.description.versionpublished
dc.format.mimetypeapplication/pdfdeu
dc.identifier.citationFirst publ. in: Integral Equations Operator Theory 38 (2000), pp. 410-436deu
dc.identifier.doi10.1007/BF01228606
dc.identifier.ppn278247776deu
dc.identifier.urihttp://kops.uni-konstanz.de/handle/123456789/704
dc.language.isoengdeu
dc.legacy.dateIssued2008deu
dc.rightsAttribution-NonCommercial-NoDerivs 2.0 Generic
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/2.0/
dc.subject.ddc510deu
dc.titleBoundary value problems for a class of elliptic operator pencilseng
dc.typeJOURNAL_ARTICLEdeu
dspace.entity.typePublication
kops.citation.bibtex
@article{Denk2000Bound-704,
  year={2000},
  doi={10.1007/BF01228606},
  title={Boundary value problems for a class of elliptic operator pencils},
  volume={38},
  journal={Integral Equations Operator Theory},
  pages={410--436},
  author={Denk, Robert and Mennicken, Reinhard and Volevič, Leonid R.}
}
kops.citation.iso690DENK, Robert, Reinhard MENNICKEN, Leonid R. VOLEVIČ, 2000. Boundary value problems for a class of elliptic operator pencils. In: Integral Equations Operator Theory. 2000, 38, pp. 410-436. Available under: doi: 10.1007/BF01228606deu
kops.citation.iso690DENK, Robert, Reinhard MENNICKEN, Leonid R. VOLEVIČ, 2000. Boundary value problems for a class of elliptic operator pencils. In: Integral Equations Operator Theory. 2000, 38, pp. 410-436. Available under: doi: 10.1007/BF01228606eng
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    <dcterms:abstract xml:lang="eng">An operator family of densely defined closed linear operators and the In this paper operator pencils depending polynomially on the spectral parameter  are studied which act on a manifold with boundary and satisfy the condition of  N -ellipticity with parameter, a generalization of the notion of ellipticity with parameter as introduced by Agmon and Agranovich-Vishik. Sobolev spaces corresponding to a Newton polygon are defined and investigated; in particular it is possible to describe  their trace spaces. With respect to these spaces, an a priori estimate  holds for the Dirichlet boundary value problem connected with an N-elliptic pencil, and a right parametrix is constructed.</dcterms:abstract>
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kops.sourcefieldIntegral Equations Operator Theory. 2000, <b>38</b>, pp. 410-436. Available under: doi: 10.1007/BF01228606deu
kops.sourcefield.plainIntegral Equations Operator Theory. 2000, 38, pp. 410-436. Available under: doi: 10.1007/BF01228606deu
kops.sourcefield.plainIntegral Equations Operator Theory. 2000, 38, pp. 410-436. Available under: doi: 10.1007/BF01228606eng
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source.periodicalTitleIntegral Equations Operator Theory

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