Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions

Details Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions

2006-05-24

arxiv.org/abs/math/0605655v1

Mathematics

Analysis of PDEs

Scientific paper

10.1007/s00023-007-0336-6

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.

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