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math.AP2010
On the Global Existence and Blowup Phenomena of Schrödinger Equations with Multiple Nonlinearities
Xianfa Song
In this paper, we consider the global existence and blowup phenomena of the following Cauchy problem \begin{align*} \left\{\begin{array}{ll}&-i u_t=Δu-V(x)u+f(x,|u|^2)u+(W\star|u|^…
math.AP2010
Remarks on Scattering Properties of the Solution to a Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities
Xianfa Song
In this paper, we consider the Cauchy problem of Nonlinear Schrödinger equation \begin{align*} \left\{\begin{array}{ll}&i u_t+Δu=λ_1|u|^{p_1}u+λ_2|u|^{p_2}u, \quad t\in\mathbb{R},…