Spectral stability estimates for the Dirichlet and Neumann Laplacian in rough domains (Articolo in rivista)

Type
Label
  • Spectral stability estimates for the Dirichlet and Neumann Laplacian in rough domains (Articolo in rivista) (literal)
Anno
  • 2013-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.jfa.2013.02.006 (literal)
Alternative label
  • Lemenant A.; Milakis E.; Spinolo L.V. (2013)
    Spectral stability estimates for the Dirichlet and Neumann Laplacian in rough domains
    in Journal of functional analysis (Print); Elsevier, Amsterdam (Paesi Bassi)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Lemenant A.; Milakis E.; Spinolo L.V. (literal)
Pagina inizio
  • 2097 (literal)
Pagina fine
  • 2135 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.sciencedirect.com/science/article/pii/S0022123613000451 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 264 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 9 (literal)
Note
  • ISI Web of Science (WOS) (literal)
  • Scopu (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Université Paris Diderot, Paris 7, LJLL, CNRS, U.F.R. de Mathématiques, Site Chevaleret Case 7012, 75205 Paris Cedex 13, France; University of Cyprus, Department of Mathematics and Statistics, P.O. Box 20537, Nicosia, CY-1678, Cyprus; IMATI, CNR, Via Ferrata 1, I-27100, Pavia, Italy (literal)
Titolo
  • Spectral stability estimates for the Dirichlet and Neumann Laplacian in rough domains (literal)
Abstract
  • In this paper we establish new quantitative stability estimates with respect to domain perturbations for all the eigenvalues of both the Neumann and the Dirichlet Laplacian. Our main results follow from an abstract lemma stating that it is actually sufficient to provide an estimate on suitable projection operators. Whereas this lemma could be applied under different regularity assumptions on the domain, here we use it to estimate the spectrum in Lipschitz and in so-called Reifenberg-flat domains. Our argument also relies on suitable extension techniques and on an estimate on the decay of the eigenfunctions at the boundary which could be interpreted as a boundary regularity result. © 2013 Elsevier Inc.. (literal)
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