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

@inproceedings{Gustafson2007GlobalDS,
  title={Global Dispersive Solutions for the Gross – Pitaevskii Equation in Two and Three Dimensions},
  author={Sarah Gustafson and Kenji Nakanishi and Tai-Peng Tsai},
  year={2007}
}
We study asymptotic behaviour at time infinity of solutions close to the nonzero 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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