JournalsjemsVol. 10, No. 1pp. 1–45

Quasi-periodic solutions of nonlinear random Schrödinger equations

  • Jean Bourgain

    Institute for Advanced Study, Princeton, United States
  • Wei-Min Wang

    University of Massachusetts, Amherst, United States
Quasi-periodic solutions of nonlinear random Schrödinger equations cover
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Abstract

In this paper, let ΣR6\Sigma\subset\R^{6} be a compact convex hypersurface. We prove that if Σ\Sigma carries only finitely many geometrically distinct closed characteristics, then at least two of them must possess irrational mean indices. Moreover, if \Sg\Sg carries exactly three geometrically distinct closed characteristics, then at least two of them must be elliptic.

Cite this article

Jean Bourgain, Wei-Min Wang, Quasi-periodic solutions of nonlinear random Schrödinger equations. J. Eur. Math. Soc. 10 (2008), no. 1, pp. 1–45

DOI 10.4171/JEMS/102