Analyticity and smoothing effect for the Schrödinger equation

Nakao Hayashi; Saburou Saitoh

Annales de l'I.H.P. Physique théorique (1990)

  • Volume: 52, Issue: 2, page 163-173
  • ISSN: 0246-0211

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Hayashi, Nakao, and Saitoh, Saburou. "Analyticity and smoothing effect for the Schrödinger equation." Annales de l'I.H.P. Physique théorique 52.2 (1990): 163-173. <http://eudml.org/doc/76482>.

@article{Hayashi1990,
author = {Hayashi, Nakao, Saitoh, Saburou},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {analyticity; Schrödinger equation; isometrical identities},
language = {eng},
number = {2},
pages = {163-173},
publisher = {Gauthier-Villars},
title = {Analyticity and smoothing effect for the Schrödinger equation},
url = {http://eudml.org/doc/76482},
volume = {52},
year = {1990},
}

TY - JOUR
AU - Hayashi, Nakao
AU - Saitoh, Saburou
TI - Analyticity and smoothing effect for the Schrödinger equation
JO - Annales de l'I.H.P. Physique théorique
PY - 1990
PB - Gauthier-Villars
VL - 52
IS - 2
SP - 163
EP - 173
LA - eng
KW - analyticity; Schrödinger equation; isometrical identities
UR - http://eudml.org/doc/76482
ER -

References

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  1. [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. Zbl0396.35028MR533219
  2. [2] N. Hayashi and T. Ozawa, Smoothing Effect for Some Schrödinger Equations, J. Funct. Anal. Vol. 85, 1989, pp. 307-348. Zbl0681.35079MR1012208
  3. [3] A. Jensen, Commutator Methods and a Smoothing Property of the Schrödinger Evolution Group, Math. Z., Vol. 191, 1986, pp. 53-59. Zbl0594.35032MR812602
  4. [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. Zbl0622.35066MR870865
  5. [5] S. Saitoh, Isometrical Indentities and Inverse Formulas in the One Dimensional Schrödinger's Equation, Complex Variables (to appear). Zbl0706.35057MR1058522

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