Scattering theory for Hartree equations with inverse-square potentials

摘要

Scattering theory for Hartree equations with inverse-square potentials (HE)(a) are considered. Recently, Suzuki [1, 2] studied the global solvability and blowup in finite time for (HE)(a).To observe more precise properties for global solutions, it is suitable to consider the asymptotic behavior, especially, scattering problem.