%0 Journal Article %T On global solutions for the Vlasov-Poisson system %A Peter E. Zhidkov %J Electronic Journal of Differential Equations %D 2004 %I Texas State University %X In this article we show that the Vlasov-Poisson system has a unique weak solution in the space $L_1cap L_infty$. For this purpose, we use the method of characteristics, unlike the approach in [12]. %K Vlasov equation %K initial value problem %K global weak solution %K Coulomb potential of interactions %U http://ejde.math.txstate.edu/Volumes/2004/58/abstr.html