Modified scattering for long-range Hartree equations of infinite rank
near vacuum
Modified scattering for long-range Hartree equations of infinite rank
near vacuum
We establish the asymptotic behavior and decay of solutions near vacuum to the Hartree equation with the Coulomb interaction potential in three dimensions. Our approach is direct, which consists of independently deriving the sharp dispersive decay estimates for the density function and establishing the boundedness of energy norms. The global …