| Texto completo | |
| Autor(es): |
Goloshchapova, Nataliia
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of Mathematical Analysis and Applications; v. 473, n. 1, p. 53-70, MAY 1 2019. |
| Citações Web of Science: | 0 |
| Resumo | |
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) | |
| Processo FAPESP: | 16/02060-9 - Aplicação da teoria das extensões à análise espectral dos alguns operadores auto-adjuntos |
| Beneficiário: | Nataliia Goloshchapova |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |