论文标题
立方敏感NLS：超越病毒阈值的散射
Cubic-quintic NLS: scattering beyond the virial threshold
论文作者
论文摘要
我们将非线性schrödinger方程式在三个空间维度中进行，并结合了聚焦的立方和散落的五重量非线性。此问题先前是由Killip，Oh，Pocovnicu和Visan考虑的，他们证明了在质量/能量平面的整个区域的散射，在该区域中，该地区的病毒数量保证为正。在本文中，我们证明在较大的区域中散射，在较大的区域中，病毒量不再保证是确定的。
We consider the nonlinear Schrödinger equation in three space dimensions with combined focusing cubic and defocusing quintic nonlinearity. This problem was considered previously by Killip, Oh, Pocovnicu, and Visan, who proved scattering for the whole region of the mass/energy plane where the virial quantity is guaranteed to be positive. In this paper we prove scattering in a larger region where the virial quantity is no longer guaranteed to be sign definite.
