题目：The existence of wave operators for multi-channel problem
报告人：邓清泉（华中师范大学）
时间：2022年11月12日（星期六），09:30-11:00
地点：腾讯会议，会议号：181 676 427，会议密码：123456
摘要：We consider the nonlinear Schr\{o}dinger equation $$i\psi_{t}=-\Delta\psi+F(|\psi|^{2})\psi$$ in dimension 3. we prove the existence of wave operators for multi-channel problem with large final state. That is, for given final state $(E^{+},\gamma^{+},\varphi^{+})$, we can find initial data $\varphi_{0}$ such that its corresponding solution $\psi(t)$ is asymptotically give by $$\psi(t)\approx e^{it\Delta}\varphi^{+}+e^{it E^{+}+i\gamma^{+}}\phi(E^{+}).$$
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