Semi-classical analysis for nonlinear Schrödinger equations (Record no. 72762)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03003nam a2200373 a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 00012030 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 201021s2020 si ob 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9789811227912 |
| -- | (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| -- | (hbk.) |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 530.124 |
| 100 1# - AUTHOR NAME | |
| Author | Carles, Rémi. |
| 245 10 - TITLE STATEMENT | |
| Title | Semi-classical analysis for nonlinear Schrödinger equations |
| Sub Title | WKB analysis, focal points, coherent states / |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 2nd edition. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Singapore : |
| Publisher | World Scientific, |
| Year of publication | 2020. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 1 online resource (xiv, 352 p.) |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | "The second edition of this book consists of three parts. The first one is dedicated to the WKB methods and the semi-classical limit before the formation of caustics. The second part treats the semi-classical limit in the presence of caustics, in the special geometric case where the caustic is reduced to a point (or to several isolated points). The third part is new in this edition, and addresses the nonlinear propagation of coherent states. The three parts are essentially independent. Compared with the first edition, the first part is enriched by a new section on multiphase expansions in the case of weakly nonlinear geometric optics, and an application related to this study, concerning instability results for nonlinear Schrödinger equations in negative order Sobolev spaces. The third part is an overview of results concerning nonlinear effects in the propagation of coherent states, in the case of a power nonlinearity, and in the richer case of Hartree-like nonlinearities. It includes explicit formulas of an independent interest, such as generalized Mehler's formula, generalized lens transform"--Publisher's website. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | WKB analysis. Preliminary analysis. Weakly 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 withtout external potential. Focal point in the presence of an external potential. Some ideas for supercritical cases -- Coherent states. The linear case. Nonlinear coherent states : main tools. Power-like nonlinearity. Hartree-type nonlinearity. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://www.worldscientific.com/worldscibooks/10.1142/12030#t=toc |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Schrödinger equation. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Nonlinear theories. |
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