Scattering and blow-up for Chern-Simons-Schrödinger equations in the mass supercritical cas (2201.08145v1)

Published 20 Jan 2022 in math.AP

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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