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Semiclassical standing waves with clustering peaks for nonlinear Schrödinger equations / / Jaeyoung Byeon, Kazunaga Tanaka
| Semiclassical standing waves with clustering peaks for nonlinear Schrödinger equations / / Jaeyoung Byeon, Kazunaga Tanaka |
| Autore | Byeon Jaeyoung <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (104 p.) |
| Disciplina | 530.12/4 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Gross-Pitaevskii equations
Schrödinger equation Standing waves Cluster analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-1530-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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 6.1""""Chapter 12. Generalization to a saddle point setting""; ""12.1. Saddle point setting""; ""12.2. Proof of Theorem 12.1""; ""Acknowledgments""; ""Bibliography"" |
| Record Nr. | UNINA-9910481049203321 |
Byeon Jaeyoung <1966->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Semiclassical standing waves with clustering peaks for nonlinear Schrödinger equations / / Jaeyoung Byeon, Kazunaga Tanaka
| Semiclassical standing waves with clustering peaks for nonlinear Schrödinger equations / / Jaeyoung Byeon, Kazunaga Tanaka |
| Autore | Byeon Jaeyoung <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (104 p.) |
| Disciplina | 530.12/4 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Gross-Pitaevskii equations
Schrödinger equation Standing waves Cluster analysis |
| ISBN | 1-4704-1530-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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 6.1""""Chapter 12. Generalization to a saddle point setting""; ""12.1. Saddle point setting""; ""12.2. Proof of Theorem 12.1""; ""Acknowledgments""; ""Bibliography"" |
| Record Nr. | UNINA-9910787196803321 |
|
Byeon Jaeyoung <1966->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Semiclassical standing waves with clustering peaks for nonlinear Schrödinger equations / / Jaeyoung Byeon, Kazunaga Tanaka
| Semiclassical standing waves with clustering peaks for nonlinear Schrödinger equations / / Jaeyoung Byeon, Kazunaga Tanaka |
| Autore | Byeon Jaeyoung <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (104 p.) |
| Disciplina | 530.12/4 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Gross-Pitaevskii equations
Schrödinger equation Standing waves Cluster analysis |
| ISBN | 1-4704-1530-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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 6.1""""Chapter 12. Generalization to a saddle point setting""; ""12.1. Saddle point setting""; ""12.2. Proof of Theorem 12.1""; ""Acknowledgments""; ""Bibliography"" |
| Record Nr. | UNINA-9910807868703321 |
|
Byeon Jaeyoung <1966->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||