The $L^p$-continuity of wave operators for higher order Schrödinger operators

M. Burak Erdogan, William Green

We consider the higher order Schrödinger operator $H=(-\Delta {)}^m+V(x)$ in $n$ dimensions with real-valued potential $V$ when $n>2m$, $m\in \mathbb{N}$, $m>1$. When $n$ is odd, we prove t…