Supercritical nonlinear Schrödinger equations: Quasi-periodic solutions and almost global existence
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2009-2010), Exposé no. 32, 18 p.

We construct time quasi-periodic solutions and prove almost global existence for the energy supercritical nonlinear Schrödinger equations on the torus in arbitrary dimensions. The main new ingredient is a geometric selection in the Fourier space. This method is applicable to other nonlinear equations.

Wang, Wei-Min 1

1 Département de Mathématique Université Paris Sud 91405 Orsay Cedex
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     title = {Supercritical nonlinear {Schr\"odinger} equations: {Quasi-periodic} solutions and almost global existence},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
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     publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
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Wang, Wei-Min. Supercritical nonlinear Schrödinger equations: Quasi-periodic solutions and almost global existence. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2009-2010), Exposé no. 32, 18 p. http://archive.numdam.org/item/SEDP_2009-2010____A32_0/

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