The $L^p$-boundedness of wave operators for fourth order Schrödinger operators on ${\mathbb{R}}^4$

Artbazar Galtbayar, Kenji Yajima

We prove that the wave operators of scattering theory for the fourth order Schrödinger operators ${\Delta }^2+V(x)$ in ${\mathbb{R}}^4$ are bounded in $L^p({\mathbb{R}}^4)$ for the set of…