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Semi-classical analysis for nonlinear Schrödinger equations /
These lecture notes review recent results on the high-frequency analysis of nonlinear Schrödinger equations in the presence of an external potential. The book consists of two relatively independent parts: WKB analysis, and caustic crossing. In the first part, the basic linear WKB theory is construc...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; Hackensack, NJ :
World Scientific,
©2008.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Carles, Rémi. | |
| 245 | 1 | 0 | |a Semi-classical analysis for nonlinear Schrödinger equations / |c Rémi Carles. |
| 260 | |a Singapore ; |a Hackensack, NJ : |b World Scientific, |c ©2008. | ||
| 300 | |a 1 online resource (xi, 243 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references (pages 233-241) and index. | ||
| 505 | 0 | |a WKB analysis -- Weak nonlinear geometric optics -- Convergence of quadratic observables via modulated energy functionals -- Pointwise description of the wave function -- Some instability phenomena -- Caustic crossing : the case of focal points -- Caustic crossing : formal analysis -- Focal point without external potential -- Focal point in the presence of an external potential -- Some ideas for supercritical cases. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a These lecture notes review recent results on the high-frequency analysis of nonlinear Schrödinger equations in the presence of an external potential. The book consists of two relatively independent parts: WKB analysis, and caustic crossing. In the first part, the basic linear WKB theory is constructed and then extended to the nonlinear framework. The most difficult supercritical case is discussed in detail, together with some of its consequences concerning instability phenomena. Applications of WKB analysis to functional analysis, in particular to the Cauchy problem for nonlinear Schrödinger e. | ||
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Schrödinger equation. | |
| 650 | 0 | |a Nonlinear theories. | |
| 650 | 6 | |a Équation de Schrödinger. | |
| 650 | 6 | |a Théories non linéaires. | |
| 650 | 7 | |a SCIENCE |x Waves & Wave Mechanics. |2 bisacsh | |
| 650 | 7 | |a Nonlinear theories |2 fast | |
| 650 | 7 | |a Schrödinger equation |2 fast | |
| 758 | |i has work: |a Semi-classical analysis for nonlinear Schrödinger equations (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFyBKMXFRfrMYQ9xBrbVBX |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Carles, Rémi. |t Semi-classical analysis for nonlinear Schrödinger equations. |d Singapore ; Hackensack, NJ : World Scientific, ©2008 |z 9812793127 |z 9789812793126 |w (DLC) 2008297932 |w (OCoLC)198759348 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1681712 |z Texto completo |
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