Global existence for the Vlasov-Poisson equation in 3 space variables with small initial data

Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

Volumn 2, Issue 2, 1985, Pages 101-118

  Bardos, C ^a   Degond, P ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

COSMOLOGY; DISPERSIONS; EQUATIONS OF MOTION; VLASOV EQUATION;

DISPERSION PROPERTIES; GLOBAL EXISTENCE; LOCALISED; SMOOTH SOLUTIONS; VLASOV-POISSON EQUATIONS;

POISSON EQUATION;

EID: 65449177851     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0294-1449(16)30405-X     Document Type: Article

References (6)

1. Arsenev, A.A., Global existence of a weak solution of Vlasov's system of equations. U. S. S. R. comput. Math. and Math. Phys. t. 15 (1975), 131–143.
2. Iordanskii, S.V., The Cauchy problem for the kinelic equation of plasma. Amer. Math. Soc. Trans. Ser. 2-35 (1964), 351–363.
3. Klainerman, S., Long time behaviour of the solution to non linear equations. Arch. Rat. Mech. Anal. t. 78 (1982), 73–98.
4. Klainerman, S., Ponce, G., Global, small amplitude solutions to nonlinear evolution equations. Comm. Pure and Appl. Math. t. 36:1 (1983), 133–141.
5. J. Shatah, Global existence of small solutions to non linear evolution equations. (To appear).
6. Ukai, S., Okabe, T., On the classical solution in the large in time of the two dimensional Vlasov equation. Osaka J. of Math. n° 15 (1978), 245–261.