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arXiv · 2201.08145

Scattering and blow-up for Chern-Simons-Schr\"odinger equations in the mass supercritical cas

Vladimir Georgiev·Tianxiang Gou
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Abstract

In this paper, we are concerned with solutions to the Cauchy problem for Chern-Simons-Schr\"odinger equations in the mass supercritical case. First we establish the local well-posedness of solutions in the radial space. Then we consider scattering versus blow-up dichotomy for radial data below the ground state threshold.

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Vladimir Georgiev, Tianxiang Gou. 2022-01-20. Scattering and blow-up for Chern-Simons-Schr\"odinger equations in the mass supercritical cas. https://arxiv.org/abs/2201.08145

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