Scattering theory below energy for the cubic fourth-order Schrödinger equation

Changxing Miao, Haigen Wu, Junyong Zhang

We investigate the global existence and scattering for the cubic fourth-order Schrödinger equation $i{u}_t+{\Delta }^{2}u+|u{|}^{2}u=0$ in the low regularity space $H^s({\mathbb{R}}^n)$ with $s<2$. We provi…