Analyticity and smoothing effect for the Schrödinger equation
Hayashi, Nakao ; Saitoh, Saburou
Annales de l'I.H.P. Physique théorique, Tome 52 (1990), p. 163-173 / Harvested from Numdam
Publié le : 1990-01-01
@article{AIHPA_1990__52_2_163_0,
     author = {Hayashi, Nakao and Saitoh, Saburou},
     title = {Analyticity and smoothing effect for the Schr\"odinger equation},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {52},
     year = {1990},
     pages = {163-173},
     mrnumber = {1051235},
     zbl = {0731.35047},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1990__52_2_163_0}
}
Hayashi, Nakao; Saitoh, Saburou. Analyticity and smoothing effect for the Schrödinger equation. Annales de l'I.H.P. Physique théorique, Tome 52 (1990) pp. 163-173. http://gdmltest.u-ga.fr/item/AIHPA_1990__52_2_163_0/

[1] J. Ginibre and G. Velo, On a Class of Nonlinear Schrödinger Equations I, II, J. Funct. Anal., Vol. 32, 1979, pp. 1-32 and 33-71. | MR 533219 | Zbl 0396.35028

[2] N. Hayashi and T. Ozawa, Smoothing Effect for Some Schrödinger Equations, J. Funct. Anal. Vol. 85, 1989, pp. 307-348. | MR 1012208 | Zbl 0681.35079

[3] A. Jensen, Commutator Methods and a Smoothing Property of the Schrödinger Evolution Group, Math. Z., Vol. 191, 1986, pp. 53-59. | MR 812602 | Zbl 0594.35032

[4] T. Kato and K. Masuda, Nonlinear Evolution Equations and Analyticity I, Ann. Inst. Henri-Poincaré, Analyse non linéaire, Vol. 3, 1986, pp. 455-467. | Numdam | MR 870865 | Zbl 0622.35066

[5] S. Saitoh, Isometrical Indentities and Inverse Formulas in the One Dimensional Schrödinger's Equation, Complex Variables (to appear). | MR 1058522 | Zbl 0706.35057