GLOBAL SOLUTIONS OF SEMIRELATIVISTIC HARTREE TYPE EQUATIONS Cho, Yong-Geun; Ozawa, Tohru;
We consider initial value problems for the semirelativistic Hartree type equations with cubic convolution nonlinearity . 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.
semirelativistic Hartree type equations;global existence;scattering;Coulomb type potentials;