Blow-up criteria for fractional nonlinear Schrodinger equations

We consider the focusing fractional nonlinear Schrodinger equation i partial derivative(t)u-(-Delta)(s)u = -vertical bar u vertical bar(alpha)u, (t,x) is an element of R+ x R-d, where s is an element of (1/2,1) and alpha > 0. By using localized virial estimates, we establish general blow-up criteria for non-radial solutions to the equation. As consequences, we obtain blow-up criteria in both L-2-critical and L-2-supercritical cases which extend the results of Boulenger-Himmelsbach-Lenzmann (Boulenger et al., 2016) for non-radial initial data. (C) 2019 Elsevier Ltd. All rights reserved.