Profile decompositions of fractional Schrodinger equations with angularly regular data

Abstract

We study the fractional Schrodinger equations in R1+d, d >= 3, of order d/(d - 1) < alpha < 2. Under the angular regularity assumption we prove linear and nonlinear profile decompositions which extend the previous results [9] to data without radial assumption. As applications we show blowup phenomena of solutions to mass-critical fractional Hartree equations.