论文标题
阈值奇数解决方案在一个维
Threshold odd solutions to the nonlinear Schrödinger equation in one dimension
论文作者
论文摘要
我们考虑使用一维欧几里得空间中的$ l^2 $ - 超临界功率类型的非线性的奇数解决方案。众所周知，如果其作用小于基态的两倍，则奇数溶液会散布或炸毁。在本文中，我们表明，具有动作的奇数解决方案是基态分散或炸毁的两倍。
We consider odd solutions to the Schrödinger equation with the $L^2$-supercritical power type nonlinearity in one dimensional Euclidean space. It is known that the odd solution scatters or blows up if its action is less than twice as that of the ground state. In the present paper, we show that the odd solutions with the action as twice as that of the ground state scatter or blow up.
