Global existence, uniqueness and asymptotic behaviour of solutions of the Wigner–Poisson and Schrödinger‐Poisson systems

Reinhard Illner, Paul F. Zweifel, Horst Lange

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Source: Crossref

Published: Apr 25, 1994

DOI: 10.1002/mma.1670170504

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Source abstract

Abstract We prove global existence and uniqueness of classical solutions of the Wigner–Poisson and Schrödinger–Poisson systems of equations for both repulsive and attractive potentials. In the repulsive case, we prove decay estimates for the particle density, the potential and the solutions.

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