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Remarks on non-linear Schrödinger equation with magnetic fields

Laurent Michel
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Abstract

We study the non-linear Schrödinger 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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Laurent Michel. 2007-02-28. Remarks on non-linear Schrödinger equation with magnetic fields. https://arxiv.org/abs/math/0702882

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