Global Dispersive Solutions for the Gross–Pitaevskii Equation in Two and Three Dimensions

@article{Gustafson2007GlobalDS,
  title={Global Dispersive Solutions for the Gross–Pitaevskii Equation in Two and Three Dimensions},
  author={S. Gustafson and K. Nakanishi and Tai-Peng Tsai},
  journal={Annales Henri Poincar{\'e}},
  year={2007},
  volume={8},
  pages={1303-1331}
}
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. 

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