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Existence and Uniqueness of a Global Smooth Solution for the Vlasov-Poisson-Fokker-Planck System in Three Dimensions

✍ Scribed by F. Bouchut


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
535 KB
Volume
111
Category
Article
ISSN
0022-1236

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## Abstract In this paper the global existence of weak solutions for the Vlasov‐Poisson‐Fokker‐Planck equations in three dimensions is proved with an __L__^1^ ∩ __L^p^__ initial data. Also, the global existence of weak solutions in four dimensions with small initial data is studied. A convergence o