论文标题
一维非规模不变的非线性非线性schrödinger方程的爆破解决方案
Blow-up solutions for non-scale-invariant nonlinear Schrödinger equation in one dimension
论文作者
论文摘要
在本文中，我们将质量关键的非线性schrödinger方程式视为一个维度。 Ogawa-Tsutsumi [19]通过使用缩放参数进行初始数据证明了负能量解决方案的爆炸结果。由于原因，该方法不能用于具有线性电势的方程式。因此，我们修改了证明并将其用于线性电势的方程式。
In this paper, we consider the mass-critical nonlinear Schrödinger equation in one dimension. Ogawa--Tsutsumi [19] proved a blow-up result for negative energy solution by using a scaling argument for initial data. By the reason, the method cannot be used to an equation with a linear potential. So, we modify the proof and get that for the equation with the linear potential.
