Long time behaviors for the inhomogeneous NLS with a potential in $\mathbb{R}^3$
| Autor: | Meng, Fanfei, Wang, Sheng, Xu, Chengbin |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this article, we aim to study the scattering of the solution to the focusing inhomogeneous nonlinear Schr\"odinger equation with a potential of form \begin{align*} i\partial_t u+\Delta u- Vu=-|x|^{-b}|u|^{p-1}u \end{align*} in the energy space $H^1(\R^3)$. We prove a scattering criterion, and then we use it together with Morawetz estimate to show the scattering theory, which generalizes the results of Dinh \cite{DD} to the non-radial symmetric case. Comment: In this version, we correct some mistakes and change the title |
| Databáze: | arXiv |
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