Electron. J. Diff. Eqns., Vol. 2004(2004), No. 58, pp. 1-11.

On global solutions for the Vlasov-Poisson system

Peter Zhidkov

Abstract:
In this article we show that the Vlasov-Poisson system has a unique weak solution in the space $L_1\cap L_\infty$. 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.

Show me the PDF file (254K), TEX file, and other files for this article.

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

Return to the EJDE web page