Semiclassical limit of the nonlinear schrödinger equation in small time

Proceedings of the American Mathematical Society

Volumn 126, Issue 2, 1998, Pages 523-530

  Grenier, E ^a  

^a CNRS   (France)

Author keywords

Nonlinear schr dinger equations; Semiclassical limit

Indexed keywords

EID: 21944449213     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-98-04164-1     Document Type: Article

References (5)

1. P. Gérard, Remarques sur l'analyse semi-classique de l'équation de Schrödinger non linéaire, Séminaire EDP de l'École Polytechnique, Palaiseau, France (1992-93), lecture n° XIII. MR 94i:35157
2. J. Ginibre, G. Velo, On the global Cauchy problem for some nonlinear Schrödinger equation, Ann. Inst. H. Poincaré, Anal, non linéaire 1 (1984), 309-323. MR 87a:35164
3. E. Grenier, Limite semiclassique de l'équation de Schrödinger non linéaire en temps petit, C.R. Acad. Sci. Paris, Série I 320 (1995), 691-694. MR 96a:35191
4. S. Jin, C. D. Levermore, D.W. Mc Laughlin, The behaviour of solutions of the NLS equation in the semiclassical limit, Singular limits of dispersive waves, NATO ASI, Series B : Physics, vol. 320, 1994, pp. 235-256. MR 95k:35191
5. A. Majda, Compressible fluid flow and systems of conservation laws in several space variables, Appl. Math. Sci 53, Springer, 1984. MR 85e:35077