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AuthorKreuter, Marceldc.contributor.author
Date of accession2019-02-07T07:45:33Zdc.date.accessioned
Available in OPARU since2019-02-07T07:45:33Zdc.date.available
Year of creation2018dc.date.created
Date of first publication2019-02-07dc.date.issued
AbstractIn this thesis we study elliptic boundary value problems in the setting of vector-valued functions on arbitrary open and bounded sets. The first part considers Sobolev spaces of vector-valued functions, in particular mapping theorems and their applications. The second part discusses the Dirichlet problem for the Laplacian and a generalized solution which extends Perron's approach for the real-valued case. The third part considers boundary value problems of more general elliptic operators.dc.description.abstract
Languageendc.language.iso
PublisherUniversität Ulmdc.publisher
LicenseStandarddc.rights
Link to license texthttps://oparu.uni-ulm.de/xmlui/license_v3dc.rights.uri
KeywordPerron solutiondc.subject
KeywordElliptic boundary value problemsdc.subject
Dewey Decimal GroupDDC 510 / Mathematicsdc.subject.ddc
LCSHVector valued functionsdc.subject.lcsh
LCSHSobolev spacesdc.subject.lcsh
LCSHDirichlet problemdc.subject.lcsh
LCSHBoundary value problemsdc.subject.lcsh
TitleVector-valued elliptic boundary value problems on rough domainsdc.title
Resource typeDissertationdc.type
Date of acceptance2018-10-12dcterms.dateAccepted
RefereeArendt, Wolfgangdc.contributor.referee
RefereeZacher, Ricodc.contributor.referee
DOIhttp://dx.doi.org/10.18725/OPARU-11852dc.identifier.doi
PPN1655084046dc.identifier.ppn
URNhttp://nbn-resolving.de/urn:nbn:de:bsz:289-oparu-11909-8dc.identifier.urn
GNDVektorwertige Funktiondc.subject.gnd
GNDSobolev-Raumdc.subject.gnd
GNDDirichlet-Problemdc.subject.gnd
FacultyFakultät für Mathematik und Wirtschaftswissenschaftenuulm.affiliationGeneral
InstitutionInstitut für Angewandte Analysisuulm.affiliationSpecific
Grantor of degreeFakultät für Mathematik und Wirtschaftswissenschaftenuulm.thesisGrantor
DCMI TypeTextuulm.typeDCMI
CategoryPublikationenuulm.category
University Bibliographyjauulm.unibibliographie


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