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- W3104712729 abstract "We consider the semi-classical limit for the Gross-Pitaevskii equation. In order to consider non-trivial boundary conditions at infinity, we work in Zhidkov spaces rather than in Sobolev spaces. For the usual cubic nonlinearity, we obtain a point-wise description of the wave function as the Planck constant goes to zero, so long as no singularity appears in the limit system. For a cubic-quintic nonlinearity, we show that working with analytic data may be necessary and sufficient to obtain a similar result." @default.
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- W3104712729 date "2009-06-01" @default.
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- W3104712729 title "WKB analysis for the Gross–Pitaevskii equation with non-trivial boundary conditions at infinity" @default.
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- W3104712729 doi "https://doi.org/10.1016/j.anihpc.2008.02.006" @default.
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