Blow-up solutions for a system of Schrödinger equations with general quadratic-type nonlinearities in dimensions five and six
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| Autoři: | , |
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| Médium: | artículo original |
| Datum vydání: | 2022 |
| Popis: | This paper deals with the Cauchy problem associated with a nonlinear system of Schrödinger equations with general quadratic-type nonlinearities. The main interest is in proving the existence of blow-up solutions in dimensions five and six. We give sufficient conditions for the existence of such solutions based on the mass and the energy of the associated ground states. The existence of ground states in dimension five was already obtained in a previous paper. In the present manuscript we also establish the existence of such a special solutions in dimension six. This result can also be viewed as of independent interest. The technique we use is based on the concentration-compactness method. The blow-up solutions are obtained without the mass-resonance condition, when the initial data is radial. |
| Země: | Kérwá |
| Instituce: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| Jazyk: | Inglés |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/91816 |
| On-line přístup: | https://hdl.handle.net/10669/91816 https://doi.org/10.1007/s00526-022-02219-2 |
| Klíčové slovo: | Mathematics |