Abstract In this paper, we consider blow-up of solutions to the Cauchy problem for the following fractional Nonlinear Schrödinger Equation (NLS), equation* i \, ₜ u= (-) ˢ u-|u|^2 u in \, \, R RN, equation* where N 2, 1/2 s 1, and 0 2s/ (N-2s). In the mass critical and supercritical cases, we establish a criterion for blow-up of solutions to the problem for cylindrically symmetric data. The results extend the known ones with respect to blow-up of solutions to the problem for radially symmetric data.
Gou et al. (Mon,) studied this question.