Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions
arXiv:math/0605655 · doi:10.1007/s00023-007-0336-6
Abstract
We study asymptotic behaviour at time infinity of solutions close to the non-zero constant equilibrium for the Gross-Pitaevskii equation in two and three spatial dimensions. We construct a class of global solutions with prescribed dispersive asymptotic behavior, which is given in terms of the linearized evolution.