On the Vlasov–Poisson–Fokker–Planck Equations with Measures in Morrey Spaces as Initial Data☆

Abstract In this paper the existence of weak solutions, local and global in time solutions for small initial distribution of particles, for the three-dimensional Vlasov–Poisson–Fokker–Planck system with measures as initial data is obtained. Also, the uniqueness and stability for these solutions is analysed. The distribution of particles to be considered is the measures with special decay contained in Morrey spaces.

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