Codice | QDD182 |
Titolo | Stable solitary waves with prescribed L2 mass for the cubic Schrodinger system with trapping potentials |
Data | 2014-05-22 |
Autore/i | Noris, B.; Tavares, H.; Verzini, G. |
Link | Download full text |
Abstract | For the cubic Schrodinger system with trapping potentials in RN, N <= 3, or in bounded domains, we investigate the existence and the orbital stability of standing waves having components with prescribed L2 mass provide a variational characterization of such solutions, which gives information on the stability through of a condition of Grillakis-Shatah-Strauss type. As an application, we show existence of conditionally orbitally stable solitary waves when: a) the masses are small, for almost every scattering lengths, and b) in the defocusing, weakly interacting case, for any masses. |
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