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 [12].
Peter Zhidkov
Abstract:
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 [12].
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 e-mail: zhidkov@thsun1.jinr.ru Fax: 7-(09621-)65084 |
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