Geodesic
On global solutions for the Vlasov-Poisson system
Electronic Journal of Differential Equations, Tome 2004 (2004).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a78,
     author = {Zhidkov, Peter},
     title = {On global solutions for the {Vlasov-Poisson} system},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2004},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a78/}
}
TY  - JOUR
AU  - Zhidkov, Peter
TI  - On global solutions for the Vlasov-Poisson system
JO  - Electronic Journal of Differential Equations
PY  - 2004
VL  - 2004
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a78/
LA  - en
ID  - EJDE_2004__2004__a78
ER  - 
%0 Journal Article
%A Zhidkov, Peter
%T On global solutions for the Vlasov-Poisson system
%J Electronic Journal of Differential Equations
%D 2004
%V 2004
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a78/
%G en
%F EJDE_2004__2004__a78
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__a78/