论文标题
3D立方Quintic NLS的阈值解决方案
Threshold solutions for the 3d cubic-quintic NLS
论文作者
论文摘要
我们研究三个空间维度的立方Quintic NLS。众所周知，在与阳性病毒相对应的区域中散射的溶液可用于质量能的溶液，其边界是由基态孤子和某些重新列出来描绘的。我们对仅由孤子所实现的边界部分的解决方案的可能行为进行了分类。特别是，我们表明非溶液在时间方向上散射或与特殊溶液相吻合（Modulo对称性），该溶液朝着一个时间方向散射并指数成倍收敛于另一个时间方向。
We study the cubic-quintic NLS in three space dimensions. It is known that scattering holds for solutions with mass-energy in a region corresponding to positive virial, the boundary of which is delineated both by ground state solitons and by certain rescalings thereof. We classify the possible behaviors of solutions on the part of the boundary attained solely by solitons. In particular, we show that non-soliton solutions either scatter in both time directions or coincide (modulo symmetries) with a special solution, which scatters in one time direction and converges exponentially to the soliton in the other.
