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Semiclassical standing waves with clustering peaks for nonlinear Schrödinger equations /
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2013.
|
| Colección: | Memoirs of the American Mathematical Society ;
Volume 229, no. 1076. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- ""Contents""; ""Chapter 1. Introduction and results""; ""Chapter 2. Preliminaries""; ""2.1. Notation""; ""2.2. Limit problems""; ""2.3. Estimate of _{ â?€}() with relation to the Pohozaev identity""; ""2.4. Functional setting""; ""2.5. Choice of a neighborhood of â?³""; ""2.6. Control on small parts of â?? ¹(^{ })""; ""Chapter 3. Local centers of mass""; ""3.1. Local centers of mass""; ""3.2. Some functions Î?(), Ξ(), Î?_{ }() in terms of local centers of mass""; ""Chapter 4. Neighborhood Ω_{ }(,) and minimization for a tail of in Ω_{ }""
- ""4.1. A choice of parameters and minimization""""4.2. Invariant new neighborhoods""; ""4.3. Width of a set Ì? (â€?, â€?)â??Ì? (â€?, â€?)""; ""Chapter 5. A gradient estimate for the energy functional""; ""5.1.-dependent concentration-compactness argument""; ""5.2. A gradient estimate""; ""5.3. Gradient flow of the energy functional Î?_{ }""; ""Chapter 6. Translation flow associated to a gradient flow of () on \R^{ }""; ""6.1. A pseudo-gradient flow on \overline{ }_{3 â?€}()^{â??â?€} associated to (â??)+\cdots+ (_{â??â?€})""
- ""6.2. Definition of a translation operator""""6.3. Properties of the translation operator""; ""Chapter 7. Iteration procedure for the gradient flow and the translation flow""; ""Chapter 8. An (+1)â??â?€-dimensional initial path and an intersection result""; ""8.1. A preliminary path â?€""; ""8.2. An initial path _{1 }""; ""8.3. An intersection property""; ""Chapter 9. Completion of the proof of Theorem 1.3""; ""Chapter 10. Proof of Proposition 8.3""; ""10.1. An interaction estimate""; ""10.2. Preliminary asymptotic estimates""; ""10.3. Proof of Proposition 10.1""
- Chapter 11. Proof of Lemma 6.1Chapter 12. Generalization to a saddle point setting
- 12.1. Saddle point setting
- 12.2. Proof of Theorem 12.1
- Acknowledgments
- Bibliography