On a system of Schrödinger equations with general quadratic-type nonlinearities

 

সংরক্ষণ করুন:
গ্রন্থ-পঞ্জীর বিবরন
লেখক: Noguera Salgado, Norman F., Pastor Ferreira, Ademir
বিন্যাস: artículo original
প্রকাশনার তারিখ:2021
বিবরন:In this work, we study a system of Schrödinger equations involving nonlinearities with quadratic growth. We establish sharp criterion concerned with the dichotomy global existence versus blow-up in finite time. Such a criterion is given in terms of the ground state solutions associated with the corresponding elliptic system, which in turn are obtained by applying variational methods. By using the concentration-compactness method we also investigate the nonlinear stability/instability of the ground states.
দেশ:Kérwá
প্রতিষ্ঠান:Universidad de Costa Rica
Repositorio:Kérwá
ভাষা:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/91936
অনলাইন ব্যবহার করুন:https://worldscientific.com/doi/abs/10.1142/S0219199720500236
https://hdl.handle.net/10669/91936
মুখ্য শব্দ:global well-posedness
Nonlinear Schrödinger equations
blow-up
ground states
nonlinear stability