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Non-generic blow-up solutions for the critical focusing

By J. Krieger and W. Schlag


We consider the critical focusing NLS in 1-d of the form (1.1) i∂tψ + ∂ 2 xψ = −|ψ | 4 ψ, i = √ −1, ψ = ψ(t, x), and ψ complex valued. It is well-known that this equation permits standing wave solutions of the form φ(t, x) = e iαt φ0(x, α), α>

Year: 2005
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