Time decay of solutions to the Schrödinger equation in exterior domains. I

Nakao Hayashi

Annales de l'I.H.P. Physique théorique (1989)

  • Volume: 50, Issue: 1, page 71-81
  • ISSN: 0246-0211

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Hayashi, Nakao. "Time decay of solutions to the Schrödinger equation in exterior domains. I." Annales de l'I.H.P. Physique théorique 50.1 (1989): 71-81. <http://eudml.org/doc/76436>.

@article{Hayashi1989,
author = {Hayashi, Nakao},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {exterior domains; Schrödinger operator; decay rates},
language = {eng},
number = {1},
pages = {71-81},
publisher = {Gauthier-Villars},
title = {Time decay of solutions to the Schrödinger equation in exterior domains. I},
url = {http://eudml.org/doc/76436},
volume = {50},
year = {1989},
}

TY - JOUR
AU - Hayashi, Nakao
TI - Time decay of solutions to the Schrödinger equation in exterior domains. I
JO - Annales de l'I.H.P. Physique théorique
PY - 1989
PB - Gauthier-Villars
VL - 50
IS - 1
SP - 71
EP - 81
LA - eng
KW - exterior domains; Schrödinger operator; decay rates
UR - http://eudml.org/doc/76436
ER -

References

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  1. [1] A. Friedman, Partial Differential Equations: Holt, Rinehart and Winston, New York, 1969. Zbl0224.35002MR445088
  2. [2] Y. Jing-Qi, Comportement à l'infini des solutions d'une equation de Schrödinger non linéaire dans un domaine extérieur, C. R. Acad. Sc. Paris, t. 294,1982, p. 163-166. Zbl0511.35078MR651435
  3. [3] O.A. Ladyzhenskaya, The Mathematical Theory of Viscous Incompressible Flow, 2nd English ed., Gordon and Breach, New York, 1969. Zbl0184.52603MR254401
  4. [4] O.A. Ladyzhenskaya and N.N. Ural'ceva, Linear and Quasilinear Equations of Elliptic Type, Academic Press, New York, 1968. 
  5. [5] Y. Tsutsumi, Global solution of the nonlinear Schrödinger equation in exterior domains, Comm. PDE, t. 8, 1983, p. 1337-1374. Zbl0542.35027MR711442
  6. [6] K. Yosida, Functional Analysis, Springer-Verlag, Berlin, Heidelberg, New York, 1971. Zbl0217.16001
  7. [7] Y. Chen, Global existence of the solution of nonlinear Schrödinger equations in exterior domains, Acta Mathematicae Applicatae Sinica, t. 2, (3), 1985, p. 191-212. Zbl0641.35011

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