Geodesic
Quasi-periodic solutions of nonlinear random Schrödinger equations
Journal of the European Mathematical Society, Tome 10 (2008) no. 1, pp. 1-45.

Voir la notice de l'article provenant de la source EMS Press

In this paper, let Σ⊂R6 be a compact convex hypersurface. We prove that if Σ carries only finitely many geometrically distinct closed characteristics, then at least two of them must possess irrational mean indices. Moreover, if Σ carries exactly three geometrically distinct closed characteristics, then at least two of them must be elliptic.
DOI : 10.4171/jems/102
Classification : 58-XX, 34-XX, 37-XX, 00-XX
Keywords: Compact convex hypersurfaces, closed characteristics, Hamiltonian systems, Morse theory, mean index identity, stability 
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     author = {Jean Bourgain and Wei-Min Wang},
     title = {Quasi-periodic solutions of nonlinear random {Schr\"odinger} equations},
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Jean Bourgain; Wei-Min Wang. Quasi-periodic solutions of nonlinear random Schrödinger equations. Journal of the European Mathematical Society, Tome 10 (2008) no. 1, pp. 1-45. doi : 10.4171/jems/102. http://geodesic.mathdoc.fr/articles/10.4171/jems/102/

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