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arxiv: math/0702882 · v1 · submitted 2007-02-28 · 🧮 math.AP

Remarks on non-linear Schr\"{o}dinger equation with magnetic fields

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keywords dingerequationmagneticnon-linearschrassumptionasymptoticscauchy
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We study the non-linear Schr\"{o}dinger equation with time depending magnetic field without smallness assumption at infinity. We obtain some results on the Cauchy problem, WKB asymptotics and instability.

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