| Texto completo | |
| Autor(es): |
Goloshchapova, Nataliia
;
Ohta, Masahito
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 196, p. 23-pg., 2020-07-01. |
| Resumo | |
We study strong instability (by blow-up) of the standing waves for the nonlinear Schrodinger equation with d-interaction on a star graph Gamma. The key ingredient is a novel variational technique applied to the standing wave solutions being minimizers of a specific variational problem. We also show well-posedness of the corresponding Cauchy problem in the domain of the self-adjoint operator which defines d-interaction. This permits to prove virial identity for the H-1-solutions to the Cauchy problem. We also prove certain strong instability results for the standing waves of the NLS-delta' equation on the line. (C) 2020 Elsevier Ltd. All rights reserved. (AU) | |
| Processo FAPESP: | 17/17698-1 - Equações de Schrödinger não-linear com pontos de interação |
| Beneficiário: | Jaime Angulo Pava |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Internacional |