Final state problem for the cubic nonlinear KleinGordon equation

Nakao Hayashi and Pavel I. Naumkin We study the final state problem for the nonlinear KleinGordon equation, u+uu=[mu]u, t[is-an-element-of]R,x[is-an-element-of]R, where [mu][is-an-element-of]R. We prove the existence of solutions in the neighborhood of the approximate solutions 2 Re U(t)w(t), where U(t) is the free evolution group d ... [J. Math. Phys. 50, 103511 (2009)] published Thu Oct 1, 2009.