R^3中带势项的非线性Schrdinger方程的L^2集中现象

L^2 Concentration Phenomenon of Nonlinear Schrdinger Equation with a Harmonic Potential

该文主要讨论带调和势项的非线性Schrdinger方程的L^2集中现象;同时也对破裂点的分布进行了估计,并且给出了整体适定性的条件.

In this paper, the authors consider the L^2 concentration phenomenon of nonlinear Schrhdinger equation with a harmonic potential in L^2-critical case. At the same time the authors also estimate the blow up points and give a condition of global well posedness.