Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions
S. Gustafson, K. Nakanishi, T. -P. Tsai
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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