Scattering of non-radial solutions for the fourth-order Schrödinger equation with $\dot{H}^{1/2}$-critical and supercritical nonlinearity

We consider the focusing nonlinear fourth-order Schrödinger equation \begin{equation*} i \partial_t u + μΔu - Δ^2 u = - |u|^{p-1} u, \ \ \ (t,x) \in \mathbb{R} \times \mathbb{R}^d, \end{equation*} where $μ\ge 0$. The scattering of radial solutions below the ground state is shown by Guo (2016) an