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arXiv · 1709.07517

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

Nyla Basharat·Yi Hu·Shijun Zheng
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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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Nyla Basharat, Yi Hu, Shijun Zheng. 2017-09-21. Blowup rate for mass critical rotational nonlinear Schr\"odinger equations. https://arxiv.org/abs/1709.07517

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