@article{AIHPA_1994__60_2_211_0,
author = {Ginibre, J. and Ozawa, T. and Velo, G.},
title = {On the existence of the wave operators for a class of nonlinear {Schr\"odinger} equations},
journal = {Annales de l'I.H.P. Physique th\'eorique},
pages = {211--239},
publisher = {Gauthier-Villars},
volume = {60},
number = {2},
year = {1994},
mrnumber = {1270296},
zbl = {0808.35136},
language = {en},
url = {http://www.numdam.org/item/AIHPA_1994__60_2_211_0/}
}
TY - JOUR AU - Ginibre, J. AU - Ozawa, T. AU - Velo, G. TI - On the existence of the wave operators for a class of nonlinear Schrödinger equations JO - Annales de l'I.H.P. Physique théorique PY - 1994 SP - 211 EP - 239 VL - 60 IS - 2 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1994__60_2_211_0/ LA - en ID - AIHPA_1994__60_2_211_0 ER -
%0 Journal Article %A Ginibre, J. %A Ozawa, T. %A Velo, G. %T On the existence of the wave operators for a class of nonlinear Schrödinger equations %J Annales de l'I.H.P. Physique théorique %D 1994 %P 211-239 %V 60 %N 2 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPA_1994__60_2_211_0/ %G en %F AIHPA_1994__60_2_211_0
Ginibre, J.; Ozawa, T.; Velo, G. On the existence of the wave operators for a class of nonlinear Schrödinger equations. Annales de l'I.H.P. Physique théorique, Tome 60 (1994) no. 2, pp. 211-239. http://www.numdam.org/item/AIHPA_1994__60_2_211_0/
[1] , Nonexistence of Asymptotically Free Solutions for Nonlinear Schrödinger Equation, J. Math. Phys., Vol. 25, 1984, pp. 3270-3273. | MR | Zbl
[2] and , Interpolation Spaces, Berlin, Springer, 1976. | MR | Zbl
[3] , An Introduction to Nonlinear Schrödinger Equations, Textos de Métodos Matematicos, Vol. 22, Instituto de Matematica, Rio de Janeiro, 1989.
[4] and , The Cauchy Problem for the Critical Nonlinear Schrödinger Equation in Hs, Nonlin. Anal. TMA, Vol. 14, 1990, pp. 807-836. | MR | Zbl
[5] and , Rapidly Decaying Solutions of the Nonlinear Schrödinger Equation, Commun. Math. Phys., Vol. 147, 1992, p. 75-100. | MR | Zbl
[6] and , Long Range Scattering for Nonlinear Schrödinger and Hartree Equations in Space Dimension n≧2, Commun. Math. Phys., Vol. 151, 1993, pp. 619-645. | MR | Zbl
[7] and , On a Class of Nonlinear Schrödinger Equations I. The Cauchy Problem General Case, J. Funct. Anal., Vol. 32, 1979, p. 1-32. | MR | Zbl
[8] and , On a Class of Nonlinear Schrödinger Equations II. Scattering Theory, General Case, J. Funct. Anal., Vol. 32, 1979, pp. 33-71. | MR | Zbl
[9] and , Scattering Theory in the Energy Space for a Class of Nonlinear Schrödinger Equations, J. Math. Pures Appl., Vol. 64, 1985, p. 363-401. | MR | Zbl
[10] and , The Global Cauchy Problem for the Nonlinear Klein-Gordon Equation, Math. Z., Vol. 189, 1985, pp. 487-505. | MR | Zbl
[11] and , Time Decay of Finite Energy Solutions of the Nonlinear Klein Gordon and Schrödinger Equations, Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 43, 1985, pp. 399-442. | Numdam | MR | Zbl
[12] and , Scattering Theory in the Energy Space for a Class of Nonlinear Wave Equations, Commun. Math. Phys., Vol. 123, 1989, pp. 535-573. | MR | Zbl
[13] and , Smoothing Properties and Retarded Estimates for Some Dispersive Evolution Equations, Commun. Math. Phys., Vol. 144, 1992, pp. 163-188. | MR | Zbl
[14] and , L∞ (Rn)-Decay of Classical Solutions for Non Linear Schrödinger Equations, Proceedings of the Royal Society of Edinburgh, Vol. 104, 1986, pp. 309-327. | MR | Zbl
[15] and , Remarks on the Scattering Problem for Nonlinear Schrödinger Equations, Lecture Notes in Math., Vol. 1285, 1987, Springer, pp. 162- 168. | MR | Zbl
[16] , On Nonlinear Schrödinger Equations, Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 46, 1987, pp. 113-129. | Numdam | MR | Zbl
[17] , Nonlinear Schrödinger Equations, in: Schrödinger Operators, Lect. Notes Phys., Vol. 345, Springer, 1989. | MR | Zbl
[18] and , Decay and Scattering of Solutions of a Nonlinear Schrödinger Equation, J. Funct. Anal., Vol. 30, 1978, pp. 245-263. | MR | Zbl
[19] and , The Nonlinear Schrödinger Equation and the Nonlinear Heat Equation; Reduction to Linear Form, Comm. Pure Appl. Math., Vol. 44, 1991, pp. 1067-1080. | MR | Zbl
[20] and , Nonlinear Scattering with Non Local Interaction, Commun. Math. Phys., Vol. 146, 1992, pp. 259-275. | MR | Zbl
[21] , Long Range Scattering for Nonlinear Schrödinger Equations in One Space Dimension, Commun. Math. Phys., Vol. 139, 1991, pp. 479-493. | MR | Zbl
[22] , Nonlinear Scattering Theory, in Scattering Theory in Mathematical Physics, J. LAVITA, J. P. MARCHAND, eds, Reidel, 1974. | Zbl
[23] , Nonlinear Scattering Theory at Low Energy, J. Funct. Anal., Vol. 41, 1981, pp. 110-133. | MR | Zbl
[24] , Scattering Problem for Nonlinear Schrödinger Equations, Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 43, 1985, pp. 321-347. | Numdam | MR | Zbl
[25] , Global Existence and Asymptotic Behavior of Solutions for Nonlinear Schrödinger Equations, Doctoral Thesis, University of Tokyo, 1985.
[26] , L2 Solutions for Nonlinear Schrödinger Equations and Nonlinear Groups, Funkcialaj Ekvacioj, Vol. 30, 1987, pp. 115-125. | MR | Zbl
[27] and , The asymptotic Behavior of Nonlinear Schrödinger Equations, Bull. Am. Math. Soc., Vol. 11, 1984, pp. 186-188. | MR | Zbl
[28] , Existence of Solutions for Schrödinger Evolution Equations, Commun. Math. Phys., Vol. 110, 1987, pp. 415-426. | MR | Zbl
[29] , Theory of Function Spaces, Birkhauser, 1983. | Zbl
