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R-boundedness, pseudodifferential operators, and maximal regularity for some classes of partial differential operators

R-boundedness, pseudodifferential operators, and maximal regularity for some classes of partial differential operators

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Prüfsumme: MD5:d9eb700e74c0b911b8259e3ab2436901

DENK, Robert, Thomas KRAINER, 2006. R-boundedness, pseudodifferential operators, and maximal regularity for some classes of partial differential operators

@unpublished{Denk2006R-bou-538, title={R-boundedness, pseudodifferential operators, and maximal regularity for some classes of partial differential operators}, year={2006}, author={Denk, Robert and Krainer, Thomas} }

<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/123456789/538"> <dc:format>application/pdf</dc:format> <dcterms:rights rdf:resource="http://nbn-resolving.org/urn:nbn:de:bsz:352-20140905103416863-3868037-7"/> <dc:creator>Denk, Robert</dc:creator> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:44:58Z</dc:date> <dcterms:issued>2006</dcterms:issued> <dcterms:title>R-boundedness, pseudodifferential operators, and maximal regularity for some classes of partial differential operators</dcterms:title> <dc:language>eng</dc:language> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/538"/> <dc:contributor>Krainer, Thomas</dc:contributor> <dc:creator>Krainer, Thomas</dc:creator> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:44:58Z</dcterms:available> <dcterms:abstract xml:lang="eng">It is shown that an elliptic scattering operator A on a compact manifold with boundary with operator valued coefficients in the morphisms of a bundle of Banach spaces has maximal regularity (up to a spectral shift), provided that the spectrum of the principal symbol of A on the scattering cotangent bundle avoids the right half-plane. This is accomplished by representing the resolvent in terms of pseudodifferential operators with R-bounded symbols, yielding by an iteration argument the R-boundedness of the resolvent in a closed complex half-plane. To this end, elements of a symbolic and operator calculus of pseudodifferential operators with R-bounded symbols are introduced. The significance of this method for proving maximal regularity results for partial differential operators is underscored by considering also a more elementary situation of anisotropic elliptic operators with operator valued coefficients.</dcterms:abstract> <dc:contributor>Denk, Robert</dc:contributor> <dc:rights>deposit-license</dc:rights> </rdf:Description> </rdf:RDF>

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