On nonlinear Schrödinger equations
Kato, Tosio
Annales de l'I.H.P. Physique théorique, Tome 47 (1987), p. 113-129 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@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},
     volume = {47},
     year = {1987},
     pages = {113-129},
     mrnumber = {877998},
     zbl = {0632.35038},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1987__46_1_113_0}
}

Kato, Tosio. On nonlinear Schrödinger equations. Annales de l'I.H.P. Physique théorique, Tome 47 (1987) pp. 113-129. http://gdmltest.u-ga.fr/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 533218 | Zbl 0396.35028

[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 801582 | Zbl 0586.35042

[3] J. Howland, Stationary scattering theory for time-dependent Hamiltonians, Math. Ann. t. 207, 1974, p. 315-335. | MR 346559 | Zbl 0261.35067

[4] Y. Tsutsumi, Global strong solutions for nonlinear Schrödinger equations, Preprint, Hiroshima, 1986. | MR 913674

[5] M.M. Vainberg, Variational methods for the study of nonlinear operators (English translation), San Francisco-London-Amsterdam, Holden-Day, 1964. | MR 176364 | Zbl 0122.35501

[6] K. Yajima, Existence of solutions for Schrödinger evolution equations, Preprint, Tokyo, 1986. | MR 891945