On the Well-posedness of the Magnetic Schrödinger-Poisson System in ℝ3
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Publication:4607542
DOI10.1051/MMNP/201712102zbMath1390.82060OpenAlexW2585097561MaRDI QIDQ4607542
Vitali Vougalter, Jean-Marie Barbaroux
Publication date: 14 March 2018
Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/mmnp/201712102
density matricesmagnetic fieldsfunctional spacesSchrödinger-Poisson systemglobal existence and uniqueness
Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Statistical mechanics of plasmas (82D10)
Related Items (2)
Multiplicity and concentration results for fractional Schrödinger-Poisson equations with magnetic fields and critical growth ⋮ A refined stability result for standing waves of the Schrödinger–Maxwell system
Cites Work
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- On the well-posedness of the semi-relativistic Schrödinger-Poisson system
- Existence and nonlinear stability of stationary states for the magnetic Schrödinger-Poisson system
- Rate of convergence towards the Hartree-von Neumann limit in the mean-field regime
- Nonlinear Schrödinger equations with magnetic fields
- Semigroups of linear operators and applications to partial differential equations
- Existence and nonlinear stability of stationary states of the Schrödinger-Poisson system
- Continuous integral kernels for unbounded Schrödinger semigroups and their spectral projections
- On the generalized semi-relativistic Schrödinger-Poisson system in \(\mathbb{R}^n\)
- Existence and nonlinear stability of stationary states for the semi-relativistic Schrödinger-Poisson system
- The three-dimensional wigner-poisson problem: Existence, uniqueness and approximation
- The One-Dimensional Wigner–Poisson Problem and Its Relation to the Schrödinger–Poisson Problem
- Global existence, uniqueness and asymptotic behaviour of solutions of the Wigner–Poisson and Schrödinger‐Poisson systems
- Integrals of nonlinear equations of evolution and solitary waves
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