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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by Christian Gérard.
Submitted: May 24, 2006. Revised: December 21, 2006. Accepted: February 6, 2007.
Rights and permissions
About this article
Cite this article
Gustafson, S., Nakanishi, K. & Tsai, TP. Global Dispersive Solutions for the Gross–Pitaevskii Equation in Two and Three Dimensions. Ann. Henri Poincaré 8, 1303–1331 (2007). https://doi.org/10.1007/s00023-007-0336-6
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00023-007-0336-6