| Full text | |
| Author(s): |
Goloshchapova, Nataliia
Total Authors: 1
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| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 473, n. 1, p. 53-70, MAY 1 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
We study the nonlinear Schrodinger equation with logarithmic nonlinearity on a star graph g. At the vertex an interaction occurs described by a boundary condition of delta type with strength alpha is an element of R. We investigate the orbital stability and the spectral instability of the standing wave solutions e(i omega t)Phi(x) to the equation when the profile Phi(x) has mixed structure (i.e. has bumps and tails). In our approach we essentially use the extension theory of symmetric operators by Krein-von Neumann, and the analytic perturbations theory. (C) 2018 Elsevier Inc. All rights reserved. (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 |