Large Time Behavior of Solutions for Power Type Nonlinear Schr?dinger Equation
In this article,we considered the nonlinear Schrödinger equation{iut+1/2Δu=λ|u|αu,u(1,x)=φ(x)on R2 and λ∈R.We proved that if 0＜α＜1 with small initial values,then there existed a unique,global solution and it scattered as t→∞ when√5-1/2＜α＜1.
nonlinear Schrödinger equationglobal existencelarge time behaviorscattering
万方数据
维普
