Time Asymptotic expansions of solution for fourth-order Schrödinger equation with zero resonance or eigenvalue

Hongliang Feng, Zhao Wu, Xiaohua Yao

In this paper, we first deduce the asymptotic expansions of resolvent of $H=(-\Delta {)}^2+V$ with the presence of resonance or eigenvalue at the degenerate zero threshold for $d\ge 5$. In…