Maximal Lp -regularity of non-local boundary value problems

No Thumbnail Available
Files
There are no files associated with this item.
Date
2015
Editors
Contact
Journal ISSN
Electronic ISSN
ISBN
Bibliographical data
Publisher
Series
URI (citable link)
DOI (citable link)
ArXiv-ID
International patent number
Link to the license
oops
EU project number
Project
Open Access publication
Restricted until
Title in another language
Research Projects
Organizational Units
Journal Issue
Publication type
Journal article
Publication status
Published in
Monatshefte für Mathematik ; 176 (2015), 1. - pp. 53-80. - ISSN 0026-9255. - eISSN 1436-5081
Abstract
We investigate the R -boundedness of operator families belonging to the Boutet de Monvel calculus. In particular, we show that weakly and strongly parameter-dependent Green operators of nonpositive order are R -bounded. Such operators appear as resolvents of non-local (pseudodifferential) boundary value problems. As a consequence, we obtain maximal Lp -regularity for such boundary value problems. An example is given by the reduced Stokes equation in waveguides.
Summary in another language
Subject (DDC)
510 Mathematics
Keywords
R -boundedness, Maximal regularity, Boundary value problems, Pseudodifferential operators, Boutet de Monvel’s calculus, Waveguide
Conference
Review
undefined / . - undefined, undefined. - (undefined; undefined)
Cite This
ISO 690DENK, Robert, Jörg SEILER, 2015. Maximal Lp -regularity of non-local boundary value problems. In: Monatshefte für Mathematik. 176(1), pp. 53-80. ISSN 0026-9255. eISSN 1436-5081. Available under: doi: 10.1007/s00605-014-0669-4
BibTex
@article{Denk2015Maxim-30839,
  year={2015},
  doi={10.1007/s00605-014-0669-4},
  title={Maximal Lp -regularity of non-local boundary value problems},
  number={1},
  volume={176},
  issn={0026-9255},
  journal={Monatshefte für Mathematik},
  pages={53--80},
  author={Denk, Robert and Seiler, Jörg}
}
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/123456789/30839">
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:abstract xml:lang="eng">We investigate the R -boundedness of operator families belonging to the Boutet de Monvel calculus. In particular, we show that weakly and strongly parameter-dependent Green operators of nonpositive order are R -bounded. Such operators appear as resolvents of non-local (pseudodifferential) boundary value problems. As a consequence, we obtain maximal Lp -regularity for such boundary value problems. An example is given by the reduced Stokes equation in waveguides.</dcterms:abstract>
    <dc:language>eng</dc:language>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:contributor>Denk, Robert</dc:contributor>
    <dc:creator>Seiler, Jörg</dc:creator>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:title>Maximal Lp -regularity of non-local boundary value problems</dcterms:title>
    <dcterms:issued>2015</dcterms:issued>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-04-29T09:56:08Z</dc:date>
    <dc:contributor>Seiler, Jörg</dc:contributor>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/30839"/>
    <dc:creator>Denk, Robert</dc:creator>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-04-29T09:56:08Z</dcterms:available>
  </rdf:Description>
</rdf:RDF>
Internal note
xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter
Contact
URL of original publication
Test date of URL
Examination date of dissertation
Method of financing
Comment on publication
Alliance license
Corresponding Authors der Uni Konstanz vorhanden
International Co-Authors
Bibliography of Konstanz
Yes
Refereed