Mixed boundary-value problems for the two-dimensional Schrödinger-Poisson system

DOI10.1016/S0034-4877(97)89749-2zbMath0891.35153OpenAlexW2047931457MaRDI QIDQ1373681

Paul F. Zweifel, Horst Lange

Publication date: 19 July 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(97)89749-2

zbMATH Keywords

existenceuniquenessGalerkin approximationnonlinear Schrödinger-Poisson systemboundary conditions of Floquet type

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (1)

Boundary conditions in quantum transport theory

Cites Work

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• On explicit bases in Sobolev spaces
• The Schrödinger-Poisson eigenmatrix problem
• A Stationary Schrödinger-Poisson System Arising from the Modelling of Electronic Devices
• The three-dimensional wigner-poisson problem: Existence, uniqueness and approximation
• Global existence, uniqueness and asymptotic behaviour of solutions of the Wigner–Poisson and Schrödinger‐Poisson systems
• Dissipation in Wigner–Poisson systems
• Periodic solutions to the Wigner-Poisson equation
• Error Estimates for Galerkin Approximations to the Periodic Schrödinger‐Poisson System

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