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On the well-posedness of the semi-relativistic Schrödinger-Poisson system

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Publication:353426
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DOI10.4310/DPDE.2012.v9.n2.a2zbMath1267.82124arXiv1112.3581MaRDI QIDQ353426

Vitali Vougalter, Thomas Chen, Walid Abou Salem

Publication date: 12 July 2013

Published in: Dynamics of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.3581

zbMATH Keywords

functional spacesSchrödinger-Poisson system


Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) PDEs in connection with relativity and gravitational theory (35Q75) Statistical mechanics of plasmas (82D10)


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On the Well-posedness of the Magnetic Schrödinger-Poisson System in ℝ3, Existence and nonlinear stability of stationary states for the magnetic Schrödinger-Poisson system, Semilinear elliptic equations with the pseudo-relativistic operator on a bounded domain, Existence and nonlinear stability of stationary states for the semi-relativistic Schrödinger-Poisson system



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