Some Results on the Scattering Theory for a Schrödinger Equation with Combined Power-Type Nonlinearities

Xianfa Song

In this paper, we consider the Cauchy problem {align*} \{{array}{ll}&i u_t+Δu=λ_1|u|^{p_1}u+λ_2|u|^{p_2}u, \quad t\in\mathbb{R}, \quad x\in\mathbb{R}^N &u(0,x)=ϕ(x)\in Σ, \quad x\i…