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Exponential time decay of solutions to a nonlinear fourth-order parabolic equation

Exponential time decay of solutions to a nonlinear fourth-order parabolic equation

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JÜNGEL, Ansgar, Giuseppe TOSCANI, 2001. Exponential time decay of solutions to a nonlinear fourth-order parabolic equation

@unpublished{Jungel2001Expon-5980, title={Exponential time decay of solutions to a nonlinear fourth-order parabolic equation}, year={2001}, author={Jüngel, Ansgar and Toscani, Giuseppe} }

<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/123456789/5980"> <dc:creator>Toscani, Giuseppe</dc:creator> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/5980"/> <dc:creator>Jüngel, Ansgar</dc:creator> <dcterms:issued>2001</dcterms:issued> <dc:language>eng</dc:language> <dc:contributor>Toscani, Giuseppe</dc:contributor> <dc:format>application/pdf</dc:format> <dcterms:abstract xml:lang="eng">In this paper we investigate the large-time behavior of weak solutions to the nonlinear fourth-order parabolic equation nt = -(n(log n)xx})xx modeling interface fluctuations in spin systems. We study here the case x\in \Omega =(0,1), with n=1, nx=0 on \partial\Omega. In particular, we prove exponential decay of n(x,t) towards the constant steady state n\infty =1 in the L1 norm for long times and we give the explicit rate of decay. The result is based on classical entropy estimates and on detailed lower bounds for the entropy production.</dcterms:abstract> <dcterms:title>Exponential time decay of solutions to a nonlinear fourth-order parabolic equation</dcterms:title> <dc:rights>deposit-license</dc:rights> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:08:32Z</dcterms:available> <dcterms:rights rdf:resource="http://nbn-resolving.org/urn:nbn:de:bsz:352-20140905103416863-3868037-7"/> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:08:32Z</dc:date> <dc:contributor>Jüngel, Ansgar</dc:contributor> </rdf:Description> </rdf:RDF>

Dateiabrufe seit 01.10.2014 (Informationen über die Zugriffsstatistik)

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