Asymptotic behaviour of small solutions for the discrete nonlinear Schrödinger and Klein-Gordon equations

Academic Article


  • We show decay estimates for the propagator of the discrete Schrödinger and Klein-Gordon equations in the form . This implies a corresponding (restricted) set of Strichartz estimates. Applications of the latter include the existence of excitation thresholds for certain regimes of the parameters and the decay of small initial data for relevant lp norms. The analytical decay estimates are corroborated with numerical results. © 2005 IOP Publishing Ltd and London Mathematical Society.
  • Authors

    Published In

  • Nonlinearity  Journal
  • Digital Object Identifier (doi)

    Author List

  • Stefanov A; Kevrekidis PG
  • Start Page

  • 1841
  • End Page

  • 1857
  • Volume

  • 18
  • Issue

  • 4