论文标题
在聚焦的关键能源不均匀的NLS上：加权空间方法
On the focusing energy-critical inhomogeneous NLS: weighted space approach
论文作者
论文摘要
本文涉及3D聚焦能源不均匀的NLS的全球体系良好和有限的时间爆炸问题。在上一个结果中\ cite {chkl2，chkl3}作者考虑了空间不均匀系数$ g $的问题，因此$ g（x）\ sim | x | x | x |^{ - b} $对于$ 0 \ le le b <\ le b <\ frac43 $。在这里，我们将不均匀索引$ b $扩展到$ \ frac32 $。为此，我们改善了本地理论，并基于加权空间开发了新的轮廓分解。
This paper is concerned with the global well-posedness and finite time blowup problem for the 3D focusing energy-critical inhomogeneous NLS. In the previous results \cite{chkl2, chkl3} the authors considered the same problems with the spatial inhomogeneity coefficient $g$ such that $g(x) \sim |x|^{-b}$ for $0 \le b < \frac43$. Here we extend the inhomogeneous index $b$ up to $\frac32$. For this purpose, we improve the local theory and develop a new profile decomposition based on weighted space.
