Scattering For three waves Nonlinear Schr\'odinger System with mass-resonance in 5D
| Autor: | Meng, Fanfei, Wang, Sheng, Xu, Chengbin |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we study the dynamics behavior of the NLS system with three waves interaction in the energy space $H^1(\mathbb{R}^5) \times H^1(\mathbb{R}^5)\times H^1(\mathbb{R}^5) $. Inspired by B. Dodson and J. Murphy in \cite{Dodson2018}, we establish an interaction Morawetz estimate for the NLS system, together with the criterion which proved by Tao-Dodson--Murphy we can get the scattering under the ground state in energy space with mass-resonance. Under the radial assumption, we can remove the mass-resonance condition. Comment: 20 pages. arXiv admin note: substantial text overlap with arXiv:2001.06835 |
| Databáze: | arXiv |
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