Decay estimates for fourth-order Schrödinger operators in dimension two

Ping Li, Avy Soffer, Xiaohua Yao

In this paper we study the decay estimates of the fourth order Schrödinger operator $H={\Delta }^2+V(x)$ on ${\mathbb{R}}^2$ with a bounded decaying potential $V(x)$. We first deduce the a…