Wellposedness for Zakharov systems with generalized nonlinearity

Journal of Differential Equations

Volumn 148, Issue 2, 1998, Pages 351-363

  Colliander, J ^a  

^a MATHEMATICAL SCIENCES RESEARCH INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041897398     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1998.3445     Document Type: Article

References (7)

1. H. Added and S. Added, Quelques résultats de régularité pour les équations de la turbulence de Langmuir, C. R. Acad. Sci. Paris 289 (1979), 173-176.
2. B. Birnir, C. Kenig, G. Ponce, N. Svanstedt, and L. Vega, On the ill-posedness of the IVP for the generalized Korteweg-de Vries and nonlinear Schrödinger equations, J. London Math. Soc. (2) 53 (1996), 551-559.
3. J. Bourgain and J. Colliander, On wellposedness of the Zakharov system, Internat. Math. Res. Notices 11 (1996), 515-546.
4. H. Brézis and T. Gallouet, Nonlinear Schrödinger evolution equations, Nonlinear Anal. 4 (1980), 677-681.
5. J. Ginibre, Y. Tsutsumi, and G. Velo, The Cauchy problem for the Zakharov system, preprint, October, 1996.
6. C. Kenig, G. Ponce, and L. Vega, Quadratic forms for the 1-D semilinear Schrödinger equation, Trans. Amer. Math. Soc. 348 (1996), 3323-3353.
7. V. E. Zakharov, The collapse of Langmuir waves, Sov. Phys. JETP 35 (1972), 908-914.