On the dynamics of a quadratic Schrödinger system in dimension n = 5
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| Nhiều tác giả: | , |
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| Định dạng: | artículo original |
| Ngày xuất bản: | 2018 |
| Miêu tả: | In this work we give a sharp criterion for the global well-posedness, in the energy space, for a system of nonlinear Schr¨odinger equations with quadratic interaction in dimension n = 5. The criterion is given in terms of the charge and energy of the ground states associated with the system, which are obtained by minimizing a Weinstein-type functional. The main result is then obtained in view of a sharp Gagliardo-Nirenberg-type inequality. |
| Quốc gia: | Kérwá |
| Tổ chức giáo dục: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| Ngôn ngữ: | Inglés |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/91940 |
| Truy cập trực tuyến: | https://intlpress.com/site/pub/pages/journals/items/dpde/content/vols/0017/0001/a001/index.php https://hdl.handle.net/10669/91940 |
| Từ khóa: | Global well-posedness Schrödinger systems blow up Ground states solutions |