Math. Model. Nat. Phenom.
Volume 12, Number 1, 2017Hamiltonian Systems
|Page(s)||15 - 22|
|Published online||03 February 2017|
On the Well-posedness of the Magnetic Schrödinger-Poisson System in ℝ3
Aix Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France
2 University of Toronto, Department of Mathematics, Toronto, Ontario, M5S 2E4, Canada
* Corresponding author. E-mail: email@example.com
We prove global existence and uniqueness of strong solutions for the Schrödinger-Poisson system in the repulsive Coulomb case in ℝ3 in the presence of a smooth magnetic field.
Mathematics Subject Classification: 82D10 / 82C10
Key words: Schrödinger-Poisson system / functional spaces / density matrices / global existence and uniqueness / magnetic fields
© EDP Sciences, 2017
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