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arxiv: 0807.2311 · v1 · submitted 2008-07-15 · 🧮 math.AP

The energy space for the Gross-Pitaevskii equation with magnetic field

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keywords energyfieldmagneticspaceconditionsequationgross-pitaevskiiinfinity
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We study the energy space for the Gross-Pitaevskii equation with magnetic field and non-vanishing conditions at infinity. We provide necessary and sufficient conditions on the magnetic field for which the energy space is non-empty.

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