Propagation of Moments and Semiclassical Limit from Hartree to Vlasov Equation
Propagation de moments et limite semi-classique de l'équation de Hartree à l'équation de Vlasov
Résumé
In this paper, we prove a quantitative version of the semiclassical limit from the Hartree to the Vlasov equation with singular interaction, including the Coulomb potential. To reach this objective, we also prove the propagation of velocity moments and weighted Schatten norms which implies the boundedness of the space density of particles uniformly in the Planck constant .
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