On instability for the cubic nonlinear Schrödinger equation

Comptes Rendus Mathematique

Volumn 344, Issue 8, 2007, Pages 483-486

  Carles, Rémi ^a  

^a CNRS   (France)

Author keywords

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Indexed keywords

EID: 34247493385     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2007.03.006     Document Type: Article

References (6)

1. Burq N., Gérard P., and Tzvetkov N. Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Ann. Sci. École Norm. Sup. (4) 38 2 (2005) 255-301
2. Carles R. Geometric optics and instability for semi-classical Schrödinger equations. Arch. Ration. Mech. Anal. 183 3 (2007) 525-553
3. s. Nonlinear Anal. TMA 14 (1990) 807-836
4. M. Christ, J. Colliander, T. Tao, Ill-posedness for nonlinear Schrödinger and wave equations, Ann. Inst. H. Poincaré Anal. Non Linéaire, in press. See also math.AP/0311048
5. Grenier E. Semiclassical limit of the nonlinear Schrödinger equation in small time. Proc. Amer. Math. Soc. 126 2 (1998) 523-530
6. Sone Y., Aoki K., Takata S., Sugimoto H., and Bobylev A.V. Inappropriateness of the heat-conduction equation for description of a temperature field of a stationary gas in the continuum limit: examination by asymptotic analysis and numerical computation of the Boltzmann equation. Phys. Fluids 8 2 (1996) 628-638