- Ginibre , J. and Velo , G. 2000 . Long range scattering and modified wave operators for some Hartree type equations I . Rev. Math. Phys. , 12 : 361 – 429 .
- Ginibre , J. and Velo , G. 2000 . Long range scattering and modified wave operators for some Hartree type equations II . Ann. Henri Poincaré , 1 : 753 – 800 .
- Ginibre , J. and Velo , G. 2001 . Long range scattering and modified wave operators for some Hartree type equations III . Gevrey spaces and low dimensions, J. Diff. Eqs. , 175 : 415 – 501 .
- Glassey , R.T. 1977 . Asymptotic behavior of solutions to certain nonlinear Schrödinger-Hartree equations . Comm. Math. Phys. , 53 : 9 – 18 .
- Hayashi , N. , Kaikina , E.I. and Naumkin , P.I. 1988 . On the scattering theory for the cubic nonlinear Schrödinger and Hartree type equations in one space dimension . Hakkaido Math. J. , 27 : 651 – 667 .
- Hayashi , N. , Kaikina , E.I. and Naumkin , P.I. 1999 . Large time behavior of solutions to the generalized derivative nonlinear Schrödinger equation . Discrete and continuous Dynamical Systems , 5 : 93 – 106 .
- Hayashi , N. , Kato , K. and Naumkin , P.I. 1998 . On the scattering in Gevrey classes for subcritical Hartee and Schrödinger equations . Ann. Scuola Norm. Sup. Pisa Cl. Sci. , 27 ( 3 ) : 483 – 497 .
- Hayashi , N. and Naumkin , P.I. 2001 . Scattering theory and asymptotics for large time of soulutions to the Hartree type equations with a long range potential . Hokkaido Math. J. , 30 ( 3 ) : 137 – 161 .
- Hayashi , N. and Naumkin , P.I. 1998 . Remarks on scattering theory and large time asymptotics of solutions to Hartree type equations with a long range potential . SUT J. Math. , 34 ( 3 ) : 13 – 24 .
- Hayashi , N. , Naumkin , P.I. and Pipolo , P.N. 2000 . Analytic smoothing efffects for some derivative nonlinear Schrödinger equations . Tsukuba Math. J. , 24 ( 3 ) : 21 – 34 .
- Hayashi , N. , Naumkin , P.I. and Yamazaki , Y. 2001 . Large time behavior of small solutions to subcritical derivative nonlinear Schrödinger equations . Proc. Amer. Math. Soc. , 130 ( 3 ) : 779 – 789 .
- Hayashi , N. and Tsutsumi , Y. 1987 . Scattering theory for Hartree type equations . Ann. IHP (Phys. Théor) , 46 ( 3 ) : 187 – 213 .
- Naumkin , P.I. 1997 . Asymptotics for large time of solutions nonlinear Schrödinger equations . Izvestia RAN, ser. Mathem. , 61 ( 4 ) : 81 – 118 .
- Wada , T. 2000 . A remark on long-range scattering for the Hartree type equation . Kyushu J. Math. , 54 ( 4 ) : 171 – 179 .
Modified Scattering States for Subcritical Derivative Nonlinear Schrödinger Equations
Modified Scattering States
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