Strichartz estimates for the Schrödinger equation on a tree and applications
In this paper, we consider the Schrödinger equation on a network formed by a tree with the last generation of edges formed by infinite strips. We obtain Strichartz-like estimates for the linear semigroup and apply them to obtain well-posedness results for a nonlinear problem. Copyright © by SIAM. Un...
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2010 |
| País: | España |
| Recursos: | Basque Center for Applied Mathematics (BCAM) |
| Repositorio: | BIRD. BCAM's Institutional Repository Data |
| OAI Identifier: | oai:bird.bcamath.org:20.500.11824/487 |
| Acesso em linha: | http://hdl.handle.net/20.500.11824/487 |
| Access Level: | acceso abierto |
| Palavra-chave: | Quantum graphs Schrödinger equation Strichartz estimates |
| Resumo: | In this paper, we consider the Schrödinger equation on a network formed by a tree with the last generation of edges formed by infinite strips. We obtain Strichartz-like estimates for the linear semigroup and apply them to obtain well-posedness results for a nonlinear problem. Copyright © by SIAM. Unauthorized reproduction of this article is prohibited. |
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