In this article we show that the Vlasov-Poisson system has a unique weak solution in the space . For this purpose, we use the method of characteristics, unlike the approach in .
Submitted February 13, 2004. Published April 14, 2004.
Math Subject Classifications: 35Q72, 82C05, 82C40.
Key Words: Vlasov equation, initial value problem, global weak solution, Coulomb potential of interactions, existence and uniqueness of a solution.
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|Peter E. Zhidkov |
Bogoliubov Laboratory of Theoretical Physics,
Joint Institute for Nuclear Research,
141980 Dubna (Moscow region), Russia
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