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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 |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; Hackensack, NJ :
World Scientific,
©2008.
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Descripción Física: | 1 online resource (xi, 243 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 233-241) and index. |
| ISBN: | 9789812793133 9812793135 1281934216 9781281934215 9786611934217 6611934219 |