Scattering of solutions with group invariance for the fourth-order nonlinear Schrödinger equation

Abstract

Abstract In this paper, we consider the focusing, L 2-supercritical and H ˙ 2 -subcritical fourth-order nonlinear Schrödinger equations. We show the scattering of group-invariant solutions below the ground state threshold, under the hypothesis that the threshold for group-invariant solutions is less than a certain value.