On global solutions for the Vlasov-Poisson system
Zhidkov, Peter E.
Southwest Texas State University, Department of Mathematics
In this article we show that the Vlasov-Poisson system has a unique weak solution in the space L1 ∩ L∞. For this purpose, we use the method of characteristics, unlike the approach in .
Vlasov equation, Initial value problems, Global weak solution, Coulomb potential of interactions, Existence and uniqueness of a solution
Zhidkov, P. E. (2004). On global solutions for the Vlasov-Poisson system. <i>Electronic Journal of Differential Equations, 2004</i>(58), pp. 1-11.