Walid Abou Salem, Thomas Chen, and Vitali Vougalter

摘要

The Cauchy problem for the semi-relativistic Schrödinger-Poisson system of equations is studied in $R^n, n ge 1$, for a wide class of nonlocal interactions. Furthermore, the asymptotic behavior of the solution as the mass tends to infinity is rigorously discussed, and compared with solutions to the non-relativistic Schrödinger-Poisson system.