论文标题
与非线性联合非线性的非radial 3D NLS的散射：相互作用Morawetz方法
Scattering for non-radial 3D NLS with combined nonlinearities: the interaction Morawetz approach
论文作者
论文摘要
我们为一类非线性schrödinger方程（NLS）的散射水平低于基态能水平的散射提供了新的证明。具体而言，NLS具有偏置扰动的聚焦领先顺序非线性。我们的策略结合了莫拉维兹（Morawetz）的相互作用估计，多德森·穆尔菲（La Dodson-Murphy）和对局部功能的pohozaev功能的新关键结合，这对于克服缺乏单调性条件至关重要。此外，我们给出对称解的爆炸率。
We give a new proof of the scattering below the ground state energy level for a class of nonlinear Schrödinger equations (NLS) with mass-energy intercritical competing nonlinearities. Specifically, the NLS has a focusing leading order nonlinearity with a defocusing perturbation. Our strategy combines interaction Morawetz estimates à la Dodson-Murphy and a new crucial bound for the Pohozaev functional of localized functions, which is essential to overcome the lack of a monotonicity condition. Furthermore, we give the rate of blow-up for symmetric solutions.
