Normal form and global solutions for the Klein-Gordon-Zakharov equations

Bachelot, 1988, Problème de Cauchy globale pour des système de Dirac-Klein-Gordon, Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 48, 387 Bergh, 1976 Brézis, 1980, Non linear Schrödinger evolution equations, Nonlinear Analysis, TMA, Vol. 4, 677, 10.1016/0362-546X(80)90068-1 Friedman, 1969 Georgiev, 1990, Global solutions of the system of wave and Klein-Gordon equations, Math. Z., Vol. 203, 683, 10.1007/BF02570764 Georgiev, 1991, Small amplitude solutions of the Maxwell-Dirac equations, Indiana Univ. Math. J., Vol. 40, 845, 10.1512/iumj.1991.40.40038 Georgiev, 1992, Decay estimates for the Klein-Gordon equations, Commun. Part. Diff. Eqs., Vol. 17, 1111, 10.1080/03605309208820879 Ginebre, 1985, Time decay of finite energy solutions of the non linear Klein-Gordon and Schrödinger equations, Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 43, 399 Klainerman, 1985, Uniform decay estimates and the Lorentz in variance of the classical wave equations, Comm. Pure Appl. Math., Vol. 38, 321, 10.1002/cpa.3160380305 Klainerman, 1986, The null condition and global existence to nonlinear wave equations, Lect. in Appl. Math., Vol. 23, 293 Pecher, 1984, Nonlinear small data scattering for the wave and Klein-Gordon equation, Math. Z., Vol. 185, 261, 10.1007/BF01181697 Shatah, 1985, Normal forms and quadratic nonlinear Klein-Gordon equations, Comm. Pure Appl. Math., Vol. 38, 685, 10.1002/cpa.3160380516 Sideris, 1989, Decay estimates for the three-dimensional inhomogeneous Klein-Gordon equation and applications, Commun. Part. Diff. Eqs., Vol. 14, 1421, 10.1080/03605308908820660 W. A. Strauss, Nonlinear Wave Equations, CBMS Regional Conference Series in Mathematics, no. 73, Amer. Math. Soc., Providence, RI, 1989. Thornhill, 1978, Langmuir turbulence and modulational instability, Phys. Reports (Sect. C of Phys. Lett.), Vol. 43, 43 Simon, 1993, The Cauchy problem for non-linear Klein-Gordon equations, Commun. Math. Phys., Vol. 152, 433, 10.1007/BF02096615