| Issue |
Math. Model. Nat. Phenom.
Volume 12, Number 1, 2017
Hamiltonian Systems
|
|
|---|---|---|
| Page(s) | 15 - 22 | |
| DOI | https://doi.org/10.1051/mmnp/201712102 | |
| Published online | 03 February 2017 | |
On the Well-posedness of the Magnetic Schrödinger-Poisson System in ℝ3
1
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: vitali@math.toronto.edu
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.