2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/95438We investigate the asymptotic behavior at time infinity of solutions close to a non-zero constant equilibrium for the Gross-Pitaevskii (or Ginzburg-Landau Schroedinger) equation. We prove that, in dimensions larger than 3, small perturbations can be approximated at time infinity by the linearized evolution, and the wave operators are homeomorphic around 0 in certain Sobolev spaces.13 pagesAnalysis of PDEsMathematical Physics35Q55;82D50text