On global solutions for the Vlasov-Poisson system
Date
2004-04-14
Authors
Zhidkov, Peter E.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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 [12].
Description
Keywords
Vlasov equation, Initial value problems, Global weak solution, Coulomb potential of interactions, Existence and uniqueness of a solution
Citation
Zhidkov, P. E. (2004). On global solutions for the Vlasov-Poisson system. <i>Electronic Journal of Differential Equations, 2004</i>(58), pp. 1-11.