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Record Nr. |
UNINA9910787196803321 |
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Autore |
Byeon Jaeyoung <1966-> |
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Titolo |
Semiclassical standing waves with clustering peaks for nonlinear Schrödinger equations / / Jaeyoung Byeon, Kazunaga Tanaka |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2013 |
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©2013 |
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ISBN |
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Descrizione fisica |
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1 online resource (104 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 1947-6221 ; ; Volume 229, Number 1076 |
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Disciplina |
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Soggetti |
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Gross-Pitaevskii equations |
Schrödinger equation |
Standing waves |
Cluster analysis |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 229, Number 1076 (third of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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 |
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