Stochastic evolution equations with rough boundary noise

Vorschaubild
Dateien
Neamtu_2-ujhwan385cdb5.pdf
Neamtu_2-ujhwan385cdb5.pdfGröße: 528.64 KBDownloads: 15
Datum
2023
Autor:innen
Herausgeber:innen
Kontakt
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
URI (zitierfähiger Link)
http://nbn-resolving.de/urn:nbn:de:bsz:352-2-ujhwan385cdb5
DOI (zitierfähiger Link)
https://doi.org/10.1007/s42985-023-00268-6
ArXiv-ID
Internationale Patentnummer
Link zur Lizenz

CC BY 4.0

Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Open Access Hybrid
Sammlungen
Mathematik und Statistik
Core Facility der Universität Konstanz
Gesperrt bis
Titel in einer weiteren Sprache
Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published
Erschienen in
Partial Differential Equations and Applications. Springer. 2023, 4(6), 49. ISSN 2662-2963. eISSN 2662-2971. Verfügbar unter: doi: 10.1007/s42985-023-00268-6
Zusammenfassung

We investigate the pathwise well-posedness of stochastic partial differential equations perturbed by multiplicative Neumann boundary noise, such as fractional Brownian motion for H ∈ (1/3, 1/2]. Combining functional analytic tools with the controlled rough path approach, we establish global existence of solutions and flows for such equations. For Dirichlet boundary noise we obtain similar results for smoother noise, i.e. in the Young regime.

Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Stochastic partial differential equations, Controlled rough paths, Extrapolation operators, Neumann boundary noise
Konferenz
Rezension
undefined / . - undefined, undefined
Forschungsvorhaben
Organisationseinheiten
Zeitschriftenheft
Datensätze
Zitieren
ISO 690BLESSING-NEAMTU, Alexandra, Tim SEITZ, 2023. Stochastic evolution equations with rough boundary noise. In: Partial Differential Equations and Applications. Springer. 2023, 4(6), 49. ISSN 2662-2963. eISSN 2662-2971. Verfügbar unter: doi: 10.1007/s42985-023-00268-6
BibTex
@article{BlessingNeamtu2023-12Stoch-70568,
  year={2023},
  doi={10.1007/s42985-023-00268-6},
  title={Stochastic evolution equations with rough boundary noise},
  number={6},
  volume={4},
  issn={2662-2963},
  journal={Partial Differential Equations and Applications},
  author={Blessing-Neamtu, Alexandra and Seitz, Tim},
  note={Article Number: 49}
}
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/123456789/70568">
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2024-08-09T10:14:07Z</dc:date>
    <dc:contributor>Blessing-Neamtu, Alexandra</dc:contributor>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/70568/4/Neamtu_2-ujhwan385cdb5.pdf"/>
    <dcterms:title>Stochastic evolution equations with rough boundary noise</dcterms:title>
    <dcterms:rights rdf:resource="http://creativecommons.org/licenses/by/4.0/"/>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:contributor>Seitz, Tim</dc:contributor>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:issued>2023-12</dcterms:issued>
    <dc:language>eng</dc:language>
    <dc:rights>Attribution 4.0 International</dc:rights>
    <dc:creator>Seitz, Tim</dc:creator>
    <dcterms:abstract>We investigate the pathwise well-posedness of stochastic partial differential equations perturbed by multiplicative Neumann boundary noise, such as fractional Brownian motion for H ∈ (1/3, 1/2]. Combining functional analytic tools with the controlled rough path approach, we establish global existence of solutions and flows for such equations. For Dirichlet boundary noise we obtain similar results for smoother noise, i.e. in the Young regime.</dcterms:abstract>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/70568"/>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/70568/4/Neamtu_2-ujhwan385cdb5.pdf"/>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2024-08-09T10:14:07Z</dcterms:available>
    <dc:creator>Blessing-Neamtu, Alexandra</dc:creator>
  </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
Unbekannt
Diese Publikation teilen