Quasi-periodic solutions of nonlinear random Schrödinger equations

• Autores: Jean Bourgain, Wei Wang
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 10, Nº 1, 2008, págs. 1-45
• Idioma: inglés
• DOI: 10.4171/jems/102
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• Resumen

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