论文标题
具有反向反向电位的焦点NLS的质量能阈值动力学
Mass-energy threshold dynamics for the focusing NLS with a repulsive inverse-power potential
论文作者
论文摘要
在本文中,我们研究了具有排斥反向功率潜力的NLS的长时间动力学(即散射和爆炸),并且初始数据正好位于质量能量阈值时,即$ e_ {v}(u_ {0})(u_ {0})M(u_ {0})此外,我们证明了在质量能阈值处均匀时空边界的故障。
In this paper we study long time dynamics (i.e., scattering and blow-up) of solutions for the focusing NLS with a repulsive inverse-power potential and with initial data lying exactly at the mass-energy threshold, namely, when $E_{V}(u_{0})M(u_{0})=E_{0}(Q)M(Q)$. Moreover, we prove failure of the uniform space-time bounds at the mass-energy threshold.