Orbitally but Not Asymptotically Stable Ground States for the Discrete Nls

@inproceedings{Cuccagna2008OrbitallyBN,
  title={Orbitally but Not Asymptotically Stable Ground States for the Discrete Nls},
  author={Scipio Cuccagna},
  year={2008}
}
We consider examples of discrete nonlinear Schrödinger equations in Z admitting ground states which are orbitally but not asymptotically stable in l(Z). The ground states contain internal modes which decouple from the continuous modes. The absence of leaking of energy from discrete to continues modes leads to an almost conservation and perpetual oscillation of the discrete modes. This is quite different from what is known for nonlinear Schrödinger equations in R. We do not investigate… CONTINUE READING

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-2 of 2 references

On the spectral theory and dispersive estimates for a discrete Schrödinger equation in one dimension, http://arxiv.org/abs/0804.1963

  • D.E.Pelinovsky, A. Stefanov
  • 1963

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

  • A. Stefanov, P.G.Kevrekidis
  • Nonlinearity 18 (2005), 1841–
  • 1857

Similar Papers

Loading similar papers…