| Full text | |
| Author(s): |
Pava, Jaime Angulo
;
Goloshchapova, Nataliia
Total Authors: 2
|
| Document type: | Journal article |
| Source: | NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS; v. 24, n. 3 JUN 2017. |
| Web of Science Citations: | 6 |
| Abstract | |
We study analytically the orbital stability of the standing waves with a peak-Gausson profile for a nonlinear logarithmic Schrodinger equation with delta-interaction (attractive and repulsive). A major difficulty is to compute the number of negative eigenvalues of the linearized operator around the standing wave. This is overcome by the perturbation method, the continuation arguments, and the theory of extensions of symmetric operators. (AU) | |
| FAPESP's process: | 16/02060-9 - Application of the theory of extensions to the spectral analysis of some self-adjoint operators |
| Grantee: | Nataliia Goloshchapova |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 12/50503-6 - Boundary triplet theory and its applications to spectral theory of differential operators with point interactions and nonlinear Schrödinger equations with potentials of $ / delta $ - $ delta $ type |
| Grantee: | Nataliia Goloshchapova |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |