ABSTRACT
We study the focusing nonlinear Schrödinger equation with inverse-square potential with and in three dimensions. In this paper we obtain blow-up and global existence criteria for the solution to () by the method from Duyckaerts-Roudenko [Citation1], which extend a recent work of Killip-Murphy-Visan-Zheng [Citation2] to above the threshold.
2020 MATHEMATICS SUBJECT CLASSIFICATIONS:
Disclosure statement
No potential conflict of interest was reported by the author(s).