Towards an L1-theory for vector-valued elliptic boundary value problems

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DENK, Robert, Matthias HIEBER, Jan PRÜSS, 2003. Towards an L1-theory for vector-valued elliptic boundary value problems. In: IANNELLI, Mimmo, ed. and others. Evolution Equations : Applications to Physics, Industry, Life Sciences and Economics. Basel:Birkhäuser, pp. 141-147

@incollection{Denk2003Towar-575, title={Towards an L1-theory for vector-valued elliptic boundary value problems}, year={2003}, doi={10.1007/978-3-0348-8085-5_10}, address={Basel}, publisher={Birkhäuser}, booktitle={Evolution Equations : Applications to Physics, Industry, Life Sciences and Economics}, pages={141--147}, editor={Iannelli, Mimmo}, author={Denk, Robert and Hieber, Matthias and Prüss, Jan} }

<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/123456789/575"> <dcterms:title>Towards an L1-theory for vector-valued elliptic boundary value problems</dcterms:title> <dc:contributor>Denk, Robert</dc:contributor> <dc:creator>Hieber, Matthias</dc:creator> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:06Z</dcterms:available> <dc:format>application/pdf</dc:format> <dc:language>eng</dc:language> <dc:rights>deposit-license</dc:rights> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/575"/> <dc:creator>Denk, Robert</dc:creator> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:06Z</dc:date> <dcterms:issued>2003</dcterms:issued> <dc:contributor>Hieber, Matthias</dc:contributor> <dcterms:rights rdf:resource="https://creativecommons.org/licenses/by-nc-nd/2.0/legalcode"/> <dc:creator>Prüss, Jan</dc:creator> <dcterms:bibliographicCitation>First publ. in: Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics / Mimmo Iannelli ... (eds.). Basel: Birkhäuser, 2003, pp. 141-147</dcterms:bibliographicCitation> <dc:contributor>Prüss, Jan</dc:contributor> <dcterms:abstract xml:lang="eng">In this note, we consider vector-valued boundary value problems with constant coefficients in the L1-setting for a half space. We assume the Lopatinskii-Shapiro condition to be true and obtain a representation of the solution u of the elliptic problem by integral operators which allows to deduce a-priori estimates for u in the L1-norm. These estimates imply in particular that the L1-realization of an elliptic boundary value problem with constant coefficients in the half space generates an analytic C0-semigroup.</dcterms:abstract> </rdf:Description> </rdf:RDF>

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