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

Annales Henri Poincare (2007) 8(7) 1303-1331
DOI: 10.1007/s00023-007-0336-6
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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. © 2007 Birkhaueser.

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Gustafson, S., Nakanishi, K., & Tsai, T. P. (2007). Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions. Annales Henri Poincare, 8(7), 1303–1331. https://doi.org/10.1007/s00023-007-0336-6

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