Counterexamples to $L^p$ boundedness of wave operators for classical and higher order Schrödinger operators

M. Burak Erdogan, Michael Goldberg, William R. Green

We consider the higher order Schrödinger operator $H=(-\Delta {)}^m+V(x)$ in $n$ dimensions with real-valued potential $V$ when $n>4m-1$, $m\in \mathbb{N}$. We show that for any $\frac{2n}{…