On the extension property of Reifenberg-flat domains (Articolo in rivista)

Type
Label
  • On the extension property of Reifenberg-flat domains (Articolo in rivista) (literal)
Anno
  • 2014-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.5186/aasfm.2014.3907 (literal)
Alternative label
  • Lemenant, Antoine; Milakis, Emmanouil; Spinolo, Laura V. (2014)
    On the extension property of Reifenberg-flat domains
    in Annales Academiae scientiarum Fennicae. Mathematica (Pain.); Academia Scientiarum Fennica (Academia Scientiarum Fennica), Helsinki (Finlandia)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Lemenant, Antoine; Milakis, Emmanouil; Spinolo, Laura V. (literal)
Pagina inizio
  • 51 (literal)
Pagina fine
  • 71 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.acadsci.fi/mathematica/Vol39/LemenantMilakisSpinolo.html (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 39 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 21 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 1 (literal)
Note
  • ISI Web of Science (WOS) (literal)
  • Scopu (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Centre National de la Recherche Scientifique (CNRS); University of Cyprus; Consiglio Nazionale delle Ricerche (CNR) (literal)
Titolo
  • On the extension property of Reifenberg-flat domains (literal)
Abstract
  • We provide a detailed proof of the fact that any open set whose boundary is sufficiently flat in the sense of Reifenberg is also Jones-flat, and hence it admits an extension operator. We discuss various applications of this property, in particular we obtain L-infinity estimates for the eigenfunctions of the Laplace operator with Neumann boundary conditions. We also compare different ways of measuring the \"distance\" between two Reifenberg-flat domains. These results are pivotal to the quantitative stability analysis of the spectrum of the Neumann Laplacian performed in [27]. (literal)
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