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.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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