Geodesic
On global solutions for the Vlasov-Poisson system
Electronic journal of differential equations, Tome 2004 (2004)
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].
Classification : 35Q72, 82C05, 82C40
Keywords: Vlasov equation, initial value problem, global weak solution, Coulomb potential of interactions, existence and uniqueness of a solution 
@article{EJDE_2004__2004__a178,
     author = {Zhidkov,  Peter},
     title = {On global solutions for the {Vlasov-Poisson} system},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1059.35029},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a178/}
}
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%T On global solutions for the Vlasov-Poisson system
%J Electronic journal of differential equations
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%V 2004
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Zhidkov,  Peter. On global solutions for the Vlasov-Poisson system. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a178/