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On the Vlasov-Poisson-Fokker-Planck equations with measures in Morrey spaces as initial data. (English) Zbl 0876.35085
The goal of this paper is to extend the existence theory for the three-dimensional Vlasov-Poisson-Fokker-Planck (VPFP) equations to data which are measures and to obtain global in time estimates of the solutions. The paper is centered on the analysis of the Cauchy problem associated with the VPFP system with initial data in a suitable Morrey space of measures (the choice of this space assures the \(L^\infty\)-regularity of the potential). Also, the uniqueness and stability for these solutions is analyzed.
Reviewer: L.Vazquez (Madrid)

MSC:
35Q35 PDEs in connection with fluid mechanics
35A07 Local existence and uniqueness theorems (PDE) (MSC2000)
35B35 Stability in context of PDEs
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