@article{AIHPC_1995__12_4_459_0, author = {Ozawa, Tohru and Tsutaya, K. and Tsutsumi, Y.}, title = {Normal form and global solutions for the Klein-Gordon-Zakharov equations}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {12}, year = {1995}, pages = {459-503}, mrnumber = {1341412}, zbl = {0842.35092}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_1995__12_4_459_0} }
Ozawa, T.; Tsutaya, K.; Tsutsumi, Y. Normal form and global solutions for the Klein-Gordon-Zakharov equations. Annales de l'I.H.P. Analyse non linéaire, Tome 12 (1995) pp. 459-503. http://gdmltest.u-ga.fr/item/AIHPC_1995__12_4_459_0/
[1] Problème de Cauchy globale pour des système de Dirac-Klein-Gordon, Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 48, 1988, pp. 387-422. | Numdam | MR 969173 | Zbl 0672.35071
,[2] Interpolation Spaces, Springer-Verlag, Berlin-Heidelberg-New York, 1976. | MR 482275 | Zbl 0344.46071
and ,[3] Non linear Schrödinger evolution equations, Nonlinear Analysis, TMA, Vol. 4, 1980, pp. 677-681. | MR 582536 | Zbl 0451.35023
and ,[4] Partial Differential Equations, Holt Rinehart and Winston, New York, 1969. | MR 445088 | Zbl 0224.35002
,[5] Global solutions of the system of wave and Klein-Gordon equations, Math. Z., Vol. 203, 1990, pp. 683-698. | MR 1044072 | Zbl 0671.35052
,[6] Small amplitude solutions of the Maxwell-Dirac equations, Indiana Univ. Math. J., Vol. 40, 1991, pp. 845-883. | MR 1129332 | Zbl 0754.35171
,[7] Decay estimates for the Klein-Gordon equations, Commun. Part. Diff. Eqs., Vol. 17, 1992, pp. 1111-1139. | MR 1179280 | Zbl 0767.35068
,[8] Time decay of finite energy solutions of the non linear Klein-Gordon and Schrödinger equations, Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 43, 1985, pp. 399-442. | Numdam | MR 824083 | Zbl 0595.35089
and ,[9] Uniform decay estimates and the Lorentz invariance of the classical wave equations, Comm. Pure Appl. Math., Vol. 38, 1985, pp. 321-332. | MR 784477 | Zbl 0635.35059
,[10] The null condition and global existence to nonlinear wave equations, Lect. in Appl. Math., Vol. 23, 1986, pp. 293-326. | MR 837683 | Zbl 0599.35105
,[11] Nonlinear small data scattering for the wave and Klein-Gordon equation, Math. Z., Vol. 185, 1984, pp. 261-270. | MR 731347 | Zbl 0538.35063
,[12] Normal forms and quadratic nonlinear Klein-Gordon equations, Comm. Pure Appl. Math., Vol. 38, 1985, pp. 685-696. | MR 803256 | Zbl 0597.35101
,[13] Decay estimates for the three-dimensional inhomogeneous Klein-Gordon equation and applications, Commun. Part. Diff. Eqs., Vol. 14, 1989, pp. 1421-1455. | MR 1022992 | Zbl 0696.35015
,[14] Nonlinear Wave Equations, CBMS Regional Conference Series in Mathematics, no. 73, Amer. Math. Soc., Providence, RI, 1989. | MR 1032250 | Zbl 0714.35003
,[15] Langmuir turbulence and modulational instability, Phys. Reports (Sect. C of Phys. Lett.), Vol. 43, 1978, pp. 43-99.
and ,[16] The Cauchy problem for non-linear Klein-Gordon equations, Commun. Math. Phys., Vol. 152, 1993, pp. 433-478. | MR 1213298 | Zbl 0783.35066
and ,