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Quasi-periodic Solutions of Nonlinear Schrodinger Equations of Higher Dimension

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摘要 We are concerned with the existence of the quasi-periodic solutions of the nonlinear Schr(?)dinger(NLS)eauationwhere △ is the d-Laplace and Mσ is a Fourier multiplier,i.e,
作者 袁小平
出处 《数学进展》 CSCD 北大核心 2002年第4期383-384,共2页 Advances in Mathematics(China)
基金 Project supported by the NSFC(No.60074005) FCT of Portugal.
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参考文献4

  • 1Bourgain J. Quasi-periodicsolutions of Hamiltonian perturbations for 2D linear Schrodinger equation. Ann.Math.,1998, 148: 363-439.
  • 2Craig W and Wayne C E. Newton's method and periodic solutions of nonlinear waveequation. Commun.Pure. Appl. Math., 1993, 46: 1409-1501.
  • 3Kuksin S B. Elements of a qualitative theory of Hamiltonian PDEs. Doc. Math. J. DMV(Extra Volume ICM) Ⅱ, 1998, 819-829.
  • 4Kuksin S B and Poschel J. Invariant Cantor manifolds of quasiperiodic oscillationsfor a nonlinear Schrodinger equation. Ann. Math., 1996, 143: 149-179.

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