On the Well-posedness of the Magnetic Schrödinger-Poisson System in ℝ 3

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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Bibliographic Details
Published in:Mathematical modelling of natural phenomena 2017, Vol.12 (1), p.15-22
Main Authors: Barbaroux, J.-M., Vougalter, V.
Format: Article
Language:English
Subjects:
Analysis of PDEs
Mathematical Physics
Mathematics
Spectral Theory
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Summary: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.
ISSN:1760-6101
0973-5348
1760-6101
DOI:10.1051/mmnp/201712102