We investigate the global existence and scattering for the Fourth-order Schrödinger equation in the low regularity space Hs(Rn), s < 2. We provide an alternative approach to obtain a new Morawetz interactive estimate and extend the range of the dimension of the interactive estimate in Pausader [27] by modifying a tensor product method appeared in [7].

@inproceedings{Miao2009ScatteringTB,
title={Scattering Theory Below Energy for the Cubic Fourth-Order Schrödinger Equation},
author={Changxing Miao and Haigen Wu and Junyong Zhang},
year={2009}
}