Publikation:

A structurally damped plate equation with Dirichlet-Neumann boundary conditions

Lade...
Vorschaubild

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2015

Autor:innen

Schnaubelt, Roland

Herausgeber:innen

Kontakt

ISSN der Zeitschrift

Electronic ISSN

ISBN

Bibliografische Daten

Verlag

Schriftenreihe

Auflagebezeichnung

URI (zitierfähiger Link)
ArXiv-ID

Internationale Patentnummer

Angaben zur Forschungsförderung

Projekt

Open Access-Veröffentlichung
Core Facility der Universität Konstanz

Gesperrt bis

Titel in einer weiteren Sprache

Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published

Erschienen in

Journal of Differential Equations. 2015, 259(4), pp. 1323-1353. ISSN 0022-0396. eISSN 1090-2732. Available under: doi: 10.1016/j.jde.2015.02.043

Zusammenfassung

We investigate sectoriality and maximal regularity in Lp–Lq-Sobolev spaces for the structurally damped plate equation with Dirichlet–Neumann (clamped) boundary conditions. We obtain unique solutions with optimal regularity for the inhomogeneous problem in the whole space, in the half-space, and in bounded domains of class C4. It turns out that the first-order system related to the scalar equation on Rn is sectorial only after a shift in the operator. On the half-space one has to include zero boundary conditions in the underlying function space in order to obtain sectoriality of the shifted operator and maximal regularity for the case of homogeneous boundary conditions. We further show that the semigroup solving the problem on bounded domains is exponentially stable.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Structurally damped plate equation, Clamped boundary condition, R-sectoriality, Optimal regularity, Operator-valued Fourier multipliers, Exponential stability

Konferenz

Rezension
undefined / . - undefined, undefined

Forschungsvorhaben

Organisationseinheiten

Zeitschriftenheft

Zugehörige Datensätze in KOPS

Zitieren

ISO 690DENK, Robert, Roland SCHNAUBELT, 2015. A structurally damped plate equation with Dirichlet-Neumann boundary conditions. In: Journal of Differential Equations. 2015, 259(4), pp. 1323-1353. ISSN 0022-0396. eISSN 1090-2732. Available under: doi: 10.1016/j.jde.2015.02.043
BibTex
@article{Denk2015struc-31760,
  year={2015},
  doi={10.1016/j.jde.2015.02.043},
  title={A structurally damped plate equation with Dirichlet-Neumann boundary conditions},
  number={4},
  volume={259},
  issn={0022-0396},
  journal={Journal of Differential Equations},
  pages={1323--1353},
  author={Denk, Robert and Schnaubelt, Roland}
}
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/123456789/31760">
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-09-16T13:34:39Z</dcterms:available>
    <dcterms:title>A structurally damped plate equation with Dirichlet-Neumann boundary conditions</dcterms:title>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/31760"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:creator>Denk, Robert</dc:creator>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:contributor>Denk, Robert</dc:contributor>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-09-16T13:34:39Z</dc:date>
    <dc:language>eng</dc:language>
    <dc:creator>Schnaubelt, Roland</dc:creator>
    <dc:contributor>Schnaubelt, Roland</dc:contributor>
    <dcterms:issued>2015</dcterms:issued>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:abstract xml:lang="eng">We investigate sectoriality and maximal regularity in L&lt;sup&gt;p&lt;/sup&gt;–L&lt;sup&gt;q&lt;/sup&gt;-Sobolev spaces for the structurally damped plate equation with Dirichlet–Neumann (clamped) boundary conditions. We obtain unique solutions with optimal regularity for the inhomogeneous problem in the whole space, in the half-space, and in bounded domains of class C&lt;sup&gt;4&lt;/sup&gt;. It turns out that the first-order system related to the scalar equation on R&lt;sup&gt;n&lt;/sup&gt; is sectorial only after a shift in the operator. On the half-space one has to include zero boundary conditions in the underlying function space in order to obtain sectoriality of the shifted operator and maximal regularity for the case of homogeneous boundary conditions. We further show that the semigroup solving the problem on bounded domains is exponentially stable.</dcterms:abstract>
  </rdf:Description>
</rdf:RDF>

Interner Vermerk

xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter

Kontakt
URL der Originalveröffentl.

Prüfdatum der URL

Prüfungsdatum der Dissertation

Finanzierungsart

Kommentar zur Publikation

Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
Begutachtet
Diese Publikation teilen