Publikation:

Wave equations with non-dissipative damping

Lade...
Vorschaubild

Dateien

preprint_169.pdf
preprint_169.pdfGröße: 298.35 KBDownloads: 107

Datum

2002

Autor:innen

Muñoz Rivera, Jaime E.

Herausgeber:innen

Kontakt

ISSN der Zeitschrift

Electronic ISSN

ISBN

Bibliografische Daten

Verlag

Auflagebezeichnung

DOI (zitierfähiger Link)
ArXiv-ID

Internationale Patentnummer

Angaben zur Forschungsförderung

Projekt

Open Access-Veröffentlichung
Open Access Green
Core Facility der Universität Konstanz

Gesperrt bis

Titel in einer weiteren Sprache

Publikationstyp
Preprint
Publikationsstatus
Published

Erschienen in

Zusammenfassung

We consider the nonlinear wave equation $u_{tt}-\sigma(u_x)_x + a(x)u_t = 0$ in a bounded interval (0,L) subset IR1. The function a is allowed to change sign, but has to satisfy $\int \limits^L_0 a(x)dx > 0$ For this non-dissipative situation we prove the exponential stability of the corresponding linearized system for small a, as well as the global existence of smooth, small solutions to the nonlinear system if in particular the negative part of a is small enough.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Konferenz

Rezension
undefined / . - undefined, undefined

Forschungsvorhaben

Organisationseinheiten

Zeitschriftenheft

Zugehörige Datensätze in KOPS

Zitieren

ISO 690MUÑOZ RIVERA, Jaime E., Reinhard RACKE, 2002. Wave equations with non-dissipative damping
BibTex
@unpublished{MunozRivera2002equat-685,
  year={2002},
  title={Wave equations with non-dissipative damping},
  author={Muñoz Rivera, Jaime E. and Racke, Reinhard}
}
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/123456789/685">
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:30Z</dc:date>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:abstract xml:lang="eng">We consider the nonlinear wave equation $u_{tt}-\sigma(u_x)_x + a(x)u_t = 0$ in a bounded interval (0,L) subset IR1. The function a is allowed to change sign, but has to satisfy $\int \limits^L_0 a(x)dx &gt; 0$  For this non-dissipative situation we prove the exponential stability of the corresponding linearized system for small a, as well as the global existence of smooth, small solutions to the nonlinear system if in particular the negative part of a is small enough.</dcterms:abstract>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/685/1/preprint_169.pdf"/>
    <dcterms:issued>2002</dcterms:issued>
    <dc:format>application/pdf</dc:format>
    <dc:language>eng</dc:language>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dc:creator>Racke, Reinhard</dc:creator>
    <dc:contributor>Muñoz Rivera, Jaime E.</dc:contributor>
    <dcterms:title>Wave equations with non-dissipative damping</dcterms:title>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:contributor>Racke, Reinhard</dc:contributor>
    <dc:creator>Muñoz Rivera, Jaime E.</dc:creator>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/685"/>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:rights>terms-of-use</dc:rights>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/685/1/preprint_169.pdf"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:30Z</dcterms:available>
  </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
Nein
Begutachtet
Diese Publikation teilen