Scattering operator for semirelativistic Hartree type equation with a short range potential.
Based on the authors' abstract: In this paper, the authors showed the existence of the scattering operator in the neighborhood of the origin in \(H^{\omega ,1}\cap H^{\mu}\), where \(\mu >\omega =1+\frac2n\) for the semirelativistic Hartree type equation \[ i\partial_tu=\sqrt{M^2-\Delta}u+F(u),\quad (t,x)\in\mathbb{R}\times\mathbb{R}^n, \] where \(F(u)=(|x|^{-\gamma} \ast |u|^2)u\), \(1<\gamma <2\), \(n\geq 3\) and \(\ast\) denotes the convolution.
scientific article; zbMATH DE number 6486987