On the global Cauchy problem for some non linear Schrödinger equations

J. Ginibre; G. Velo

Annales de l'I.H.P. Analyse non linéaire (1984)

  • Volume: 1, Issue: 4, page 309-323
  • ISSN: 0294-1449

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Ginibre, J., and Velo, G.. "On the global Cauchy problem for some non linear Schrödinger equations." Annales de l'I.H.P. Analyse non linéaire 1.4 (1984): 309-323. <http://eudml.org/doc/78077>.

@article{Ginibre1984,
author = {Ginibre, J., Velo, G.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {global solution; Cauchy problem; nonlinear Schrödinger equations; existence},
language = {eng},
number = {4},
pages = {309-323},
publisher = {Gauthier-Villars},
title = {On the global Cauchy problem for some non linear Schrödinger equations},
url = {http://eudml.org/doc/78077},
volume = {1},
year = {1984},
}

TY - JOUR
AU - Ginibre, J.
AU - Velo, G.
TI - On the global Cauchy problem for some non linear Schrödinger equations
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1984
PB - Gauthier-Villars
VL - 1
IS - 4
SP - 309
EP - 323
LA - eng
KW - global solution; Cauchy problem; nonlinear Schrödinger equations; existence
UR - http://eudml.org/doc/78077
ER -

References

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  2. [2] J.B. Baillon, T. Cazenave, M. Figueira, C. R. Acad. Sci. Paris, t. 284, 1977, p. 869-872. Zbl0349.35048MR433025
  3. [3] P. Brenner, Math. Zeits, t. 167, 1979, p. 99-135. Zbl0388.35048MR534820
  4. [4] P. Brenner, W. Von Wahl, Math. Zeits, t. 176, 1981, p. 87-121. Zbl0457.35059MR606174
  5. [5] T. Cazenave, Proc. Roy. Soc. Edinburgh, t. 84, 1979, p. 327-346. Zbl0428.35021MR559676
  6. [6] T. Cazenave, A. Haraux, Ann. Fac. Sc. Toulouse, t. 2, 1980, p. 21-55. Zbl0411.35051MR583902
  7. [7] J. Ginibre, G. Velo, J. Funct. Anal., t. 32, 1979, p. 1-32. Zbl0396.35028MR533219
  8. [8] J. Ginibre, G. Velo, J. Funct. Anal., t. 32, 1979, p. 33-71. Zbl0396.35029MR533219
  9. [9] J. Ginibre, G. Velo, Ann. Inst. Henri Poincaré, t. 28, 1978, p. 287-316. Zbl0397.35012MR498408
  10. [10] J. Ginibre, G. Velo, Book in preparation. 
  11. [11] J.E. Lin, W. Strauss, J. Funct. Anal., t. 30, 1978, p. 245-263. Zbl0395.35070MR515228
  12. [12] H. Pecher, Math. Zeits, t. 150, 1976, p. 159-183. Zbl0318.35054MR435604
  13. [13] H. Pecher, Math. Zeits, t. 161, 1978, p. 9-40. Zbl0384.35039MR499812
  14. [14] H. Pecher, W. Von Wahl, Manuscripta Math., t. 27, 1979, p. 125-157. Zbl0399.35030MR526824
  15. [15] I.E. Segal, Ann. Math., t. 78, 1963, p. 339-364. Zbl0204.16004MR152908
  16. [16] W. Strauss, Non linear Scattering theory, in Scattering theory in Mathematical Physics (J. A. Lavita, J. P. Marchand eds), Reidel, Dordrecht, 1974, p. 53-78. Zbl0297.35062
  17. [17] W. Strauss, The non linear Schrödinger equation, in Contemporary developements in Continuum Mechanics and Partial Differential equations, G. M. De la Penha and LAJ Madeiras eds, North Holland, Amsterdam, 1978. 
  18. [18] W. Strauss, J. Funct. Anal., t. 41, 1981, p. 110-133. Ibid., t. 43, 1981, p. 281-293. Zbl0466.47006MR614228

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