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Blowup rate for mass critical rotational nonlinear Schr\"odinger equations

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arxiv 1709.07517 v4 pith:VRYONM7E submitted 2017-09-21 math.AP

classification math.AP
keywords blowupcriticalgroundmassratesolutionsstateabove
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abstract

We consider the blowup rate for blowup solutions to $L^2$-critical, focusing NLS with a harmonic potential and a rotation term. Under a suitable spectral condition we prove that there holds the "$\log$-$\log$ law" when the initial data is slightly above the ground state. We also construct minimal mass blowup solutions near the ground state level with distinct blowup rates.

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