论文标题
在部分谐波下，NLS的基础状态下方的全球动态
Global dynamics below the ground states for NLS under partial harmonic confinement
论文作者
论文摘要
我们关注聚焦质量超临界非线性schr {Ö} dinger方程的全球行为。我们在基础状态下方的初始数据上建立了必要且充分的条件，以确定解决方案的全局行为（爆炸/散射）。我们的散射证明是基于基态的变异表征，局部病毒估计，线性谱分解和非线性谱。
We are concerned with the global behavior of the solutions of the focusing mass supercritical nonlinear Schr{ö}dinger equation under partial harmonic confinement. We establish a necessary and sufficient condition on the initial data below the ground states to determine the global behavior (blow-up/scattering) of the solution. Our proof of scattering is based on the varia-tional characterization of the ground states, localized virial estimates, linear profile decomposition and nonlinear profiles.
