Geodesic
Quasi-periodic solutions of nonlinear random Schrödinger equations
Journal of the European Mathematical Society, Tome 10 (2008) no. 1, pp. 1-45 Cet article a éte moissonné depuis la source EMS Press

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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},
     journal = {Journal of the European Mathematical Society},
     pages = {1--45},
     year = {2008},
     volume = {10},
     number = {1},
     doi = {10.4171/jems/102},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/102/}
}
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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

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