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

S. Gustafson·K. Nakanishi·T. -P. Tsai
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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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S. Gustafson, K. Nakanishi, T. -P. Tsai. 2006-05-24. Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions. https://doi.org/10.1007/s00023-007-0336-6

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