| Full text | |
| Author(s): |
Noguera, Norman
;
Pastor, Ademir
Total Authors: 2
|
| Document type: | Journal article |
| Source: | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS; v. 61, n. 3, p. 35-pg., 2022-06-01. |
| Abstract | |
This paper deals with the Cauchy problem associated with a nonlinear system of Schrodinger 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. (AU) | |
| FAPESP's process: | 19/02512-5 - Systems and partial differential equations |
| Grantee: | Marcelo da Silva Montenegro |
| Support Opportunities: | Research Projects - Thematic Grants |