Supercritical nonlinear Schrödinger equations: Quasi-periodic solutions and almost global existence
Wei-Min Wang (2009-2010)
Séminaire Équations aux dérivées partielles
Similarity:
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 selection in the Fourier space. This method is applicable to other nonlinear equations.