Decay estimates for the Cauchy problem for the damped extensible beam equation

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RACKE, Reinhard, Shuji YOSHIKAWA, 2015. Decay estimates for the Cauchy problem for the damped extensible beam equation

@techreport{Racke2015Decay-30730, series={Konstanzer Schriften in Mathematik}, title={Decay estimates for the Cauchy problem for the damped extensible beam equation}, year={2015}, number={335}, author={Racke, Reinhard and Yoshikawa, Shuji} }

<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/123456789/30730"> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/30730"/> <dc:contributor>Racke, Reinhard</dc:contributor> <dcterms:rights rdf:resource="http://nbn-resolving.de/urn:nbn:de:bsz:352-20150305140228786-3747162-5"/> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-04-14T08:45:48Z</dc:date> <dc:creator>Yoshikawa, Shuji</dc:creator> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-04-14T08:45:48Z</dcterms:available> <dc:contributor>Yoshikawa, Shuji</dc:contributor> <dcterms:abstract xml:lang="eng">The extensible beam equation proposed by Woinovsky-Krieger is a fourth order dispersive equation with nonlocal nonlinear terms. In this paper we study the Cauchy problem of the extended model by Ball who proposed the model with external and structural damping terms. This includes a Kelvin-Voigt damping. We show the unique global existence of solution for this problem and give a precise description of the decay of solutions in time.</dcterms:abstract> <dc:creator>Racke, Reinhard</dc:creator> <dcterms:title>Decay estimates for the Cauchy problem for the damped extensible beam equation</dcterms:title> <dc:language>eng</dc:language> <dcterms:issued>2015</dcterms:issued> </rdf:Description> </rdf:RDF>

Dateiabrufe seit 14.04.2015 (Informationen über die Zugriffsstatistik)

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