On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations

On etudie le probleme aux valeurs initiales pour l'equation de Schrodinger non lineaire iΦ t +ΔΦ+|Φ| 2 σΦ=o, Φ:R x N ∈R t + →C, Φ(x,o)=Φ o (x)∈H 1 pour le cas critique σ=2/N

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