We consider initial value problems for the semirelativistic Hartree type equations with cubic convolution nonlinearity F(u) = (V * |u| 2)u. Here V is a sum of two Coulomb type potentials. Under a specified decay condition and a symmetric condition for the potential V we show the global existence and scattering of solutions.
ASJC Scopus subject areas
- 数学 (全般)