Some Results on the Scattering Theory for Nonlinear Schrödinger Equations in Weighted $L^2$ Space

Wei Dai

We investigate the scattering theory for the nonlinear Schrödinger equation $i{\partial }_{t}u+\Delta u+\lambda |u{|}^{\alpha }u=0$ in $\Sigma =H^1({\mathbb{R}}^d)\cap L^2(|x{|}^2;dx)$. We show that scatter…