Title: The existence of wave operators for multi-channel problem
Speaker: Qingquan Deng（Central China Normal University）
Time: November 12, 2022. 09:30-11:00
Location: Tencent meeting , Meeting ID:181 676 427, Password:123456
Abstract：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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