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Error estimates for Galerkin approximations to the periodic Schrödinger-Poisson system. (English) Zbl 0864.65062

The underlying paper establishes convergence rates for a Galerkin approximation to the periodic Schrödinger-Poisson problem in the unit cube and thus gets error estimates for the Wigner distribution function.

MSC:

65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
35Q55 NLS equations (nonlinear Schrödinger equations)
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References:

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