On the well posedness of the magnetic Schrödinger-Poisson system in R^3

Abstract : We prove global existence and uniqueness of strong solutions for the Schrödinger-Poisson system in the repulsive Coulomb case in R 3 in the presence of a smooth magnetic field.
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Jean-Marie Barbaroux, Vitali Vougalter. On the well posedness of the magnetic Schrödinger-Poisson system in R^3. Mathematical Modelling of Natural Phenomena, EDP Sciences, 2017, 12 (1), pp.15 - 22. ⟨10.1051/mmnp/201712102⟩. ⟨hal-01465310⟩

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