Maximal Lp-regularity of non-local boundary value problems

Kurzanzeige
dc.contributor.authorDenk, Robert
dc.contributor.authorSeiler, Jörg
dc.date.accessioned2013-11-14T09:26:09Zdeu
dc.date.available2013-11-14T09:26:09Zdeu
dc.date.issued2013deu
dc.description.abstractWe 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.deu
dc.description.versionpublished
dc.identifier.ppn396803733deu
dc.identifier.urihttp://kops.uni-konstanz.de/handle/123456789/25074
dc.language.isoengdeu
dc.legacy.dateIssued2013-11-14deu
dc.relation.ispartofseriesKonstanzer Schriften in Mathematik
dc.rightsterms-of-usedeu
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/deu
dc.subjectBoutet de Monvel calculusdeu
dc.subjectmaximal Lp-regularitydeu
dc.subjectR-boundednessdeu
dc.subject.ddc510deu
dc.subject.msc35S15, 35K50deu
dc.titleMaximal L<sub>p</sub>-regularity of non-local boundary value problemsdeu
dc.typeWORKINGPAPERdeu
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kops.bibliographicInfo.seriesNumber323deu
kops.citation.bibtex
@techreport{Denk2013Maxim-25074,
  year={2013},
  series={Konstanzer Schriften in Mathematik},
  title={Maximal L<sub>p</sub>-regularity of non-local boundary value problems},
  number={323},
  author={Denk, Robert and Seiler, Jörg}
}
kops.citation.iso690DENK, Robert, Jörg SEILER, 2013. Maximal Lp-regularity of non-local boundary value problemsdeu
kops.citation.iso690DENK, Robert, Jörg SEILER, 2013. Maximal Lp-regularity of non-local boundary value problemseng
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    <dcterms:abstract xml:lang="deu">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 L&lt;sub&gt;p&lt;/sub&gt;-regularity for such boundary value problems. An example is given by the reduced Stokes equation in waveguides.</dcterms:abstract>
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kops.submitter.emailrobert.denk@uni-konstanz.dedeu
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