On nonlinear Schrödinger equations
Annales de l'I.H.P. Physique théorique, Tome 46 (1987) no. 1, pp. 113-129. 
@article{AIHPA_1987__46_1_113_0,
     author = {Kato, Tosio},
     title = {On nonlinear {Schr\"odinger} equations},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {113--129},
     publisher = {Gauthier-Villars},
     volume = {46},
     number = {1},
     year = {1987},
     mrnumber = {877998},
     zbl = {0632.35038},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1987__46_1_113_0/}
}
TY  - JOUR
AU  - Kato, Tosio
TI  - On nonlinear Schrödinger equations
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1987
SP  - 113
EP  - 129
VL  - 46
IS  - 1
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPA_1987__46_1_113_0/
LA  - en
ID  - AIHPA_1987__46_1_113_0
ER  - 
%0 Journal Article
%A Kato, Tosio
%T On nonlinear Schrödinger equations
%J Annales de l'I.H.P. Physique théorique
%D 1987
%P 113-129
%V 46
%N 1
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPA_1987__46_1_113_0/
%G en
%F AIHPA_1987__46_1_113_0
Kato, Tosio. On nonlinear Schrödinger equations. Annales de l'I.H.P. Physique théorique, Tome 46 (1987) no. 1, pp. 113-129. http://archive.numdam.org/item/AIHPA_1987__46_1_113_0/

[1] J. Ginibre and G. Velo, On a class of nonlinear Schrödinger equations. I. The Cauchy problem. General case, J. Functional Anal., t. 32, 1979, p. 1-32. | MR | Zbl

[2] J. Ginibre and G. Velo, The global Cauchy problem for the non linear Schrödinger equation revisited, Ann. Inst. Henri Poincaré, Analyse non linéaire, t. 2, 1985, p. 309-327. | Numdam | MR | Zbl

[3] J. Howland, Stationary scattering theory for time-dependent Hamiltonians, Math. Ann. t. 207, 1974, p. 315-335. | MR | Zbl

[4] Y. Tsutsumi, Global strong solutions for nonlinear Schrödinger equations, Preprint, Hiroshima, 1986. | MR

[5] M.M. Vainberg, Variational methods for the study of nonlinear operators (English translation), San Francisco-London-Amsterdam, Holden-Day, 1964. | MR | Zbl

[6] K. Yajima, Existence of solutions for Schrödinger evolution equations, Preprint, Tokyo, 1986. | MR