Degond, P., Local existence of solutions of the Vlasov-Maxwell equations and convergence to the Vlasov- Poisson equations for infinite light velocity, Math. Methods. Appl. Sci., 8, 1986, 533–558
Bostan, M., Convergence des solutions faibles du système de Vlasov-Maxwell stationnaire vers des solutions faibles du système de Vlasov-Poisson stationnaire quand la vitesse de la lumière tend vers l’infini, C. R. Acad. Sci. Paris, Sér. I, 340, 2005, 803–808
Arseneev, A., Global existence of a weak solution of the Vlasov system of equations, Comp. Math. Math. Phys., 15, 1975, 131–143
Horst, E. and Hunze, R., Weak solutions of the initial value problem for the unmodified nonlinear Vlasov equation, Math. Methods Appl. Sci., 6, 1984, 262–279
Ukai, T. and Okabe, S., On the classical solution in the large time of the two dimensional Vlasov equations, Osaka J. Math., 15, 1978, 245–261
Horst, E., On the classical solutions of the initial value problem for the unmodified nonlinear Vlasov equation, Math. Methods Appl. Sci., 3, 1981, 229–248
Batt, J., Global symmetric solutions of the initial value problem of stellar dynamics, J. Differential Equations, 25, 1977, 342–364
Pfaffelmoser, K., Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data, J. Differential Equations, 95, 1992, 281–303
Bardos, C. and Degond, P., Global existence for the Vlasov-Poisson equation in three space variables with small initial data, Ann. Inst. H. Poincaré, Anal. Non Linéaire, 2, 1985, 101–118
Schaeffer, J., Global existence of smooth solutions to the Vlasov-Poisson system in three dimensions, Comm. Partial Differential Equations, 16(8–9), 1991, 1313–1335
Schaeffer, J., Global existence for the Vlasov-Poisson system with nearly symetric data, J. Differential Equations, 69, 1987, 111–148
Lions, P.-L. and Perthame, B., Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system, Invent. Math., 105, 1991, 415–430
Diperna, R. J. and Lions, P. L., Global weak solutions of the Vlasov-Maxwell system, Comm. Pure Appl. Math., Vol. XVII, 1989, 729–757
Glassey, R. and Schaeffer, J., The relativistic Vlasov-Maxwell system in two space dimensions I, Arch. Rational Mech. Anal., 141, 1998, 331–354
Glassey, R. and Schaeffer, J., The relativistic Vlasov-Maxwell system in two space dimensions II, Arch. Rational Mech. Anal., 141, 1998, 355–374
Glassey, R. and Strauss, W., Singularity formation in a collisionless plasma could only occur at high velocities, Arch. Rational Mech. Anal., 92, 1986, 56–90
Glassey, R. and Strauss, W., Large velocities in the relativistic Vlasov-Maxwell equations, J. Fac. Sci. Tokyo, 36, 1989, 615–627
Klainerman, S. and Staffilani, G., A new approach to study the Vlasov-Maxwell system, Comm. Pure Appl. Anal., 1, 2002, 103–125
Bouchut, F., Golse, F. and Pallard, C., Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system, Arch. Rational Mech. Anal., 170, 2003, 1–15
Ben Abdallah, N., Weak solutions of the initial-boundary value problem for the Vlasov-Poisson system, Math. Methods Appl. Sci., 17, 1994, 451–476
Guo, Y., Global weak solutions of the Vlasov-Maxwell system with boundary conditions, Comm. Math. Phys., 154, 1993, 245–263
Greengard, C. and Raviart, P.-A., A boundary value problem for the stationary Vlasov-Poisson equations: the plane diode, Comm. Pure and Appl. Math., Vol. XLIII, 1990, 473–507
Poupaud, F., Boundary value problems for the stationary Vlasov-Maxwell system, Forum Math., 4, 1992, 499–527
Degond, P. and Raviart, P.-A., An asymptotic analysis of the one-dimensional Vlasov-Poisson system: the Child-Langmuir law, Asymptotic Anal., 4(3), 1991, 187–214
Guo, Y., Singular solutions to the Vlasov-Maxwell system in a half line, Arch. Rational Mech. Anal., 131, 1995, 241–304
Bostan, M., Permanent regimes for the 1D Vlasov-Poisson system with boundary conditions, SIAM J. Math. Anal., 35(4), 2003, 922–948
Bostan, M., Solutions périodiques en temps des équations de Vlasov-Maxwell , C. R. Acad. Sci. Paris, Sér. I, 339, 2004, 451–456
Bardos, C., Problèmes aux limites pour les équations aux dérivées partielles du premier ordre, Ann. Sci. Ecole Norm. Sup., 3, 1969, 185–233
Aubin, J.-P., Un théorème de compacité, C. R. Acad. Sci. Paris, 256, 1963, 5042–5044