On the structure of critical energy levels for the cubic focusing NLS on star graphs (Articolo in rivista)

Type
Label
  • On the structure of critical energy levels for the cubic focusing NLS on star graphs (Articolo in rivista) (literal)
Anno
  • 2012-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1088/1751-8113/45/19/192001 (literal)
Alternative label
  • Adami, Riccardo; Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego (2012)
    On the structure of critical energy levels for the cubic focusing NLS on star graphs
    in Journal of physics. A, Mathematical and theoretical (Print); IOP Publishing Ltd. (Institute of Physics Publishing Ltd), "Bristol ; London" (Regno Unito)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Adami, Riccardo; Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego (literal)
Pagina inizio
  • 192001 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://iopscience.iop.org/1751-8121/45/19/192001/ (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 45 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 19 (literal)
Note
  • ISI Web of Science (WOS) (literal)
  • Scopu (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Dipartimento di Matematica e Applicazioni, Università di Milano Bicocca, via R Cozzi 53, 20125 Milan, Italy; Istituto di Matematica Applicata e Tecnologie Informatiche Enrico Magenes, CNR, via Ferrata 1, 27100 Pavia, Italy; Hausdorff Center for Mathematics, Institut für Angewandte Mathematik, 60 Endenicher Allee, 53115 Bonn, Germany (literal)
Titolo
  • On the structure of critical energy levels for the cubic focusing NLS on star graphs (literal)
Abstract
  • We provide information on a non-trivial structure of phase space of the cubic nonlinear Schrodinger (NLS) on a three-edge star graph. We prove that, in contrast to the case of the standard NLS on the line, the energy associated with the cubic focusing Schrödinger equation on the three-edge star graph with a free (Kirchhoff) vertex does not attain a minimum value on any sphere of constant L-2-norm. We moreover show that the only stationary state with prescribed L-2-norm is indeed a saddle point. (literal)
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