Decay rates for solutions of degenerate parabolic systems

Jüngel, Ansgar; Markovich, Peter A.; Toscani, Giuseppe

Decay rates for solutions of degenerate parabolic systems

Dateien

preprint_118.pdfGröße: 283.54 KBDownloads: 60

Datum

2000

Autor:innen

Jüngel, Ansgar

Markovich, Peter A.

Toscani, Giuseppe

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Informatik und Informationswissenschaft

Publikationstyp

Preprint

Publikationsstatus

Published

Zusammenfassung

Explicit decay rates for solutions of systems of degenerate parabolic equations in the whole space or in bounded domains subject to homogeneous Dirichlet boundary conditions are proven. These systems include the scalar porous medium, fast diffusion and p-Laplace equation and strongly coupled systems of these equations. For the whole space problem, the (algebraic) decay rates turn out to be optimal. In the case of bounded domains, algebraic and exponential decay rates are shown to hold depending on the nonlinearities. The proofs of these results rely on the use of the entropy functional together with generalized Nash inequalities (for the whole space problem) or Poincare inqualities (for the bounded domain case).

Fachgebiet (DDC)

004 Informatik

Zitieren

ISO 690

JÜNGEL, Ansgar, Peter A. MARKOVICH, Giuseppe TOSCANI, 2000. Decay rates for solutions of degenerate parabolic systems

BibTex

@unpublished{Jungel2000Decay-6015,
  year={2000},
  title={Decay rates for solutions of degenerate parabolic systems},
  author={Jüngel, Ansgar and Markovich, Peter A. and Toscani, Giuseppe}
}

RDF

<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/6015">
    <dc:contributor>Toscani, Giuseppe</dc:contributor>
    <dc:rights>terms-of-use</dc:rights>
    <dc:format>application/pdf</dc:format>
    <dc:creator>Toscani, Giuseppe</dc:creator>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:08:46Z</dc:date>
    <dc:contributor>Jüngel, Ansgar</dc:contributor>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/6015/1/preprint_118.pdf"/>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/6015/1/preprint_118.pdf"/>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:08:46Z</dcterms:available>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
    <dcterms:issued>2000</dcterms:issued>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
    <dc:contributor>Markovich, Peter A.</dc:contributor>
    <dc:creator>Markovich, Peter A.</dc:creator>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/6015"/>
    <dc:creator>Jüngel, Ansgar</dc:creator>
    <dc:language>eng</dc:language>
    <dcterms:title>Decay rates for solutions of degenerate parabolic systems</dcterms:title>
    <dcterms:abstract xml:lang="eng">Explicit decay rates for solutions of systems of degenerate parabolic equations in the whole space or in bounded domains subject to homogeneous Dirichlet boundary conditions are proven. These systems include the scalar porous medium, fast diffusion and p-Laplace equation and strongly coupled systems of these equations. For the whole space problem, the (algebraic) decay rates turn out to be optimal. In the case of bounded domains, algebraic and exponential decay rates are shown to hold depending on the nonlinearities. The proofs of these results rely on the use of the entropy functional together with generalized Nash inequalities (for the whole space problem) or Poincare inqualities (for the bounded domain case).</dcterms:abstract>
  </rdf:Description>
</rdf:RDF>