Blow-Up Solutions to a Class of Nonlinear Coupled Schrödinger Systems with Power-Type-Growth Nonlinearities
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| Autor: | |
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| Format: | artículo preliminar |
| Data de publicació: | 2025 |
| Descripció: | In this work we consider a system of nonlinear Schrödinger equations whose nonlinearities satisfy a power-type-growth. First, we prove that the Cauchy problem is local and global well-posedness in L2 and H1. Next, we establish the existence of ground state solutions. Then we use these solutions to study the dichotomy of global existence versus blow-up in finite time. Similar results were presented in the reference Noguera and Pastor (Commun Contemp Math 23:2050023, 2021. https://doi.org/10. 1142/S0219199720500236) for the special case when the growth of the nonlinearities was quadratic. Here we will extend them to systems with nonlinearities of order p (cubic, quartic and so on). Finally, we recover some known results for two particular systems, one with quadratic and the other with cubic growth nonlinearities |
| Pais: | Kérwá |
| Institution: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| Idioma: | Inglés |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/100338 |
| Accés en línia: | https://hdl.handle.net/10669/100338 https://doi.org/10.1007/s12346-024-01188-5 https://doi.org/10.48550/arXiv.2408.09045 |
| Paraula clau: | Nonlinear Schrödinger equations Global well-posedness Blow-up Mass-resonance |