Sharp well-posedness of the Cauchy problem for the fourth order nonlinear Schrödinger equation

Author:

Ren Yuanyuan, ,Li Yongsheng,Yan Wei,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Medicine,Applied Mathematics,Analysis

Reference21 articles.

1. Sharp well-posedness and ill-posedness results for a quadratic nonlinear Schrödinger equation,;I. Bejenaru;\emph{J. Funct. Anal.},2006

2. Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations I. Schrödinger equations,;J. Bourgain;\emph{Geom. Funct. Anal.},1993

3. Sharp global well-posedness for KdV and modified KdV on $\mathbbR$ and $\mathbbT$,;J. Colliander;\emph{J. Amer. Math. Soc.},2003

4. The global Cauchy problem and scattering of solutions for nonlinear Schrödinger equations in $H^s$,;B. L. Guo;\emph{Diff. Int. Eqns.},2002

5. Well-posedness for the fourth-order Schrödinger equations,;C. Hao;\emph{J. Math. Anal. Appl.},2006

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