Taisuke Yoneyama
In this paper, we construct a modified wave operators for Schrodinger equations with time-dependent long-range potentials by using wave packet transform and give a proof of the existence of the modified wave operators.
Taisuke Yoneyama
This paper contains 4 sections, 10 theorems, 43 equations.
Theorem 1.6
Suppose that ass-s and ass-l are satisfied. Then for any $f \in\mathcal{F}^{-1}[C_0^\infty(\mathbb{R}^n\setminus\{0\})]$, the limits exist in $\mathcal{H}$ for some $\varphi_0,\psi_0\in\mathcal{S}(\mathbb{R}^n)\setminus\left\{ 0\right\}$ with $(\varphi_0,\psi_0)_{\mathcal{H}}\neq0$, where $\mathcal{F}$ is the Fourier transform defined by $\mathcal{F}[u](\xi)=\hat{u}(\xi)=(2\pi)^{-n/2}\int_{\mathb
