Optimal Lp-Lq-regularity for parabolic problems with inhomogeneous boundary data

Zitieren

Dateien zu dieser Ressource

Prüfsumme: MD5:d721f9524a37cd64993082372a6fd0de

DENK, Robert, Matthias HIEBER, Jan PRÜSS, 2005. Optimal Lp-Lq-regularity for parabolic problems with inhomogeneous boundary data

@unpublished{Denk2005Optim-648, title={Optimal Lp-Lq-regularity for parabolic problems with inhomogeneous boundary data}, year={2005}, author={Denk, Robert and Hieber,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/123456789/648"> <dcterms:rights rdf:resource="http://nbn-resolving.org/urn:nbn:de:bsz:352-20140905103416863-3868037-7"/> <dcterms:title>Optimal Lp-Lq-regularity for parabolic problems with inhomogeneous boundary data</dcterms:title> <dc:rights>deposit-license</dc:rights> <dc:contributor>Prüss, Jan</dc:contributor> <dcterms:abstract xml:lang="eng">In this paper we investigate vector-valued parabolic initial boundary value problems (A(x,D), B1(x,D),..., Bm(x,D)) subject to general boundary conditions in a domain G with compact boundary. The top-order coefficients of the operator A are assumed to be continuous. We characterize optimal Lp-Lq-regularity for the solution of such problems in terms of the data. We also prove that the normal ellipticity condition on A and the Lopatinskii-Shapiro condition on (A(x,D), B1(x,D),..., Bm(x,D)) are necessary for these Lp-Lq-estimates. As a byproduct of the techniques being introduced we obtain new trace and extension results for Sobolev spaces of mixed order and a characterization of Triebel-Lizorkin spaces by boundary data.</dcterms:abstract> <dc:format>application/pdf</dc:format> <dc:contributor>Hieber, Matthias</dc:contributor> <dc:creator>Prüss, Jan</dc:creator> <dcterms:issued>2005</dcterms:issued> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:22Z</dcterms:available> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/648"/> <dc:creator>Hieber, Matthias</dc:creator> <dc:contributor>Denk, Robert</dc:contributor> <dc:language>eng</dc:language> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:22Z</dc:date> <dc:creator>Denk, Robert</dc:creator> </rdf:Description> </rdf:RDF>

Dateiabrufe seit 01.10.2014 (Informationen über die Zugriffsstatistik)

preprint_205.pdf 264

Das Dokument erscheint in:

KOPS Suche


Stöbern

Mein Benutzerkonto