Publikation: Dispersive mixed-order systems in Lp-Sobolev spaces and application to the thermoelastic plate equation
Lade...
Dateien
Zu diesem Dokument gibt es keine Dateien.
Datum
2019
Autor:innen
Herausgeber:innen
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
ArXiv-ID
Internationale Patentnummer
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Sammlungen
Core Facility der Universität Konstanz
Titel in einer weiteren Sprache
Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published
Erschienen in
Advances in Differential Equations. 2019, 24(7/8), pp. 377-406. ISSN 1079-9389
Zusammenfassung
We study dispersive mixed-order systems of pseudodifferential operators in the setting of Lp-Sobolev spaces. Under the weak condition of quasi-hyperbolicity, these operators generate a semigroup in the space of tempered distributions. However, if the basic space is a tuple of Lp-Sobolev spaces, a strongly continuous semigroup is in many cases only generated if p=2 or n=1. The results are applied to the linear thermoelastic plate equation with and without inertial term and with Fourier's or Maxwell-Cattaneo's law of heat conduction.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Konferenz
Rezension
undefined / . - undefined, undefined
Zitieren
ISO 690
DENK, Robert, Felix Benjamin HUMMEL, 2019. Dispersive mixed-order systems in Lp-Sobolev spaces and application to the thermoelastic plate equation. In: Advances in Differential Equations. 2019, 24(7/8), pp. 377-406. ISSN 1079-9389BibTex
@article{Denk2019Dispe-35824.2,
year={2019},
title={Dispersive mixed-order systems in L<sup>p</sup>-Sobolev spaces and application to the thermoelastic plate equation},
url={https://projecteuclid.org/euclid.ade/1556762453},
number={7/8},
volume={24},
issn={1079-9389},
journal={Advances in Differential Equations},
pages={377--406},
author={Denk, Robert and Hummel, Felix Benjamin}
}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/123456789/35824.2">
<dc:creator>Hummel, Felix Benjamin</dc:creator>
<void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
<bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/35824.2"/>
<dcterms:title>Dispersive mixed-order systems in L<sup>p</sup>-Sobolev spaces and application to the thermoelastic plate equation</dcterms:title>
<dc:contributor>Denk, Robert</dc:contributor>
<dc:contributor>Hummel, Felix Benjamin</dc:contributor>
<dc:creator>Denk, Robert</dc:creator>
<dcterms:issued>2019</dcterms:issued>
<foaf:homepage rdf:resource="http://localhost:8080/"/>
<dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dc:language>eng</dc:language>
<dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dcterms:abstract xml:lang="eng">We study dispersive mixed-order systems of pseudodifferential operators in the setting of L<sup>p</sup>-Sobolev spaces. Under the weak condition of quasi-hyperbolicity, these operators generate a semigroup in the space of tempered distributions. However, if the basic space is a tuple of L<sup>p</sup>-Sobolev spaces, a strongly continuous semigroup is in many cases only generated if p=2 or n=1. The results are applied to the linear thermoelastic plate equation with and without inertial term and with Fourier's or Maxwell-Cattaneo's law of heat conduction.</dcterms:abstract>
<dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2019-07-17T13:00:40Z</dcterms:available>
<dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2019-07-17T13:00:40Z</dc:date>
<dc:rights>terms-of-use</dc:rights>
</rdf:Description>
</rdf:RDF>Interner Vermerk
xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter
URL der Originalveröffentl.
Prüfdatum der URL
2019-07-17
Prüfungsdatum der Dissertation
Finanzierungsart
Kommentar zur Publikation
Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
Begutachtet
Unbekannt
