2022/01/20 by Vladimir Georgiev, Tianxiang Gou, Georgiev, Vladimir +1
Mathematics · #Advanced Mathematical Physics Problems #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.2201.08145
In this paper, we are concerned with solutions to the Cauchy problem for Chern-Simons-Schrödinger 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.