Asymptotic behavior in time of solutions to the derivative nonlinear schrödinger equation revisited

Discrete and Continuous Dynamical Systems

Volumn 3, Issue 3, 1997, Pages 383-400

  Hayashi, Nakao ^a   Naumkin, Pavel I ^b  

^a TOKYO UNIVERSITY OF SCIENCE   (Japan)

^b UNIVERSIDAD MICHOACANA DE SAN NICOLÁS DE HIDALGO   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031535503     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.1997.3.383     Document Type: Article

References (8)

1. A. Friedman, Partial Differential Equations, New York, Holt-Rinehart and Winston, 1969.
2. J. Bergh and J. Löfström, Interpolation spaces, Berlin, Heidelberg, New York, Springer, 1976.
3. N. Hayashi, The initial value problem for the derivative nonlinear Schrödinger equation in the energy space, J. Nonlinear Anal. T.M.A. 32 (1993), 823-833.
4. N. Hayashi and P.I. Naumkin, Asymptotic behavior in time of solutions to the derivative nonlinear Schrödinger equation, preprint (1996).
5. N. Hayashi and T. Ozawa, On the derivative nonlinear Schrödinger equation, Physica D 55 (1992), 14-36.
6. N. Hayashi and T. Ozawa, Modified wave operators for the derivative nonlinear Schödinger equations, Math. Annalen 298 (1994), 557-576.
7. P.I. Naumkin, Asymptotics for large time of solutions to nonlinear Schrödinger equations (in Russian), Izvestia RAS, ser. Math. (to appear).
8. T. Ozawa, On the nonlinear Schrödinger equations of derivative type, Indiana Univ. Math. J. (to appear).