论文标题
质量超临界CAS中的Chern-Simons-Schrödinger方程的散射和爆炸
Scattering and blow-up for Chern-Simons-Schrödinger equations in the mass supercritical cas
论文作者
论文摘要
在本文中，我们关注的是Chern-Simons-Schrödinger方程的Cauchy问题的解决方案。首先，我们在径向空间中建立了溶液的局部疗法。然后，我们考虑散射与爆破二分法，以在基态阈值以下的径向数据中进行散射。
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.
