Non-Scattering of the Solution of the Nonlinear Schr?dinger Equation on the Torus

【Author】

Xing Cheng;Qiang Li;

【Abstract】

In this article,we will show non-scattering of the solution of the nonlinear Schrodinger equation on the torus.The result extends the result of Colliander,J.,Keel,M.,Staffilani,G.,Takaoka,H.and Tao,T.for the cubic nonlinear Schr?dinger equation on 2-dimensional torus.

【Keywords】

Schr?dinger Equation;;Torus;;Scattering

References

To explore the background and basis of the node document

Springer Journals Database

Total: 6 articles

  • [1] J. Bourgain, Global wellposedness of defocusing critical nonlinear Schr?dinger equation in the radial case, jams,
  • [2] J. Colliander;;M. Keel;;G. Staffilani;;H. Takaoka;;T. Tao, Transfer of energy to high frequencies in the cubic defocusing nonlinear Schr?dinger equation, Inventiones mathematicae,
  • [3] J. Colliander;;M. Keel;;G. Staffilani;;H. Takaoka;;T. Tao, Global Well-Posedness and Scattering for the Energy-Critical Nonlinear Schr?dinger Equation in ?3, Annals of Mathematics,
  • [4] Cazenave T, Semilinear Schrdinger equations, Courant lecture notes,

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