The $L^p$-boundedness of wave operators for 4-th order Schrödinger operators on ${\mathbb{R}}^2$, I. Regular case

Artbazar Galtbayar, Kenji Yajima

We prove that wave operators of scattering theory for fourth order Schrödinger operators $H={\Delta }^2+V(x)$ on ${\mathbb{R}}^2$ with real potentials $V(x)$ such that $\langle x \rangl…