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Semi-classical analysis for nonlinear Schrodinger equations / Remi Carles.
- Format:
- Book
- Author/Creator:
- Carles, Rémi.
- Language:
- English
- Subjects (All):
- Schrödinger equation.
- Nonlinear theories.
- Physical Description:
- 1 online resource (xi, 243 p. ) ill.
- Edition:
- 1st ed.
- Place of Publication:
- Singapore ; Hackensack, NJ : World Scientific, c2008.
- Language Note:
- English
- Summary:
- Covers the high-frequency analysis of nonlinear Schrodinger equations in the presence of an external potential. This book consists of two relatively independent parts: WKB analysis, and caustic crossing. It also covers applications of WKB analysis to functional analysis, in particular to the Cauchy problem for nonlinear Schrodinger equations.
- Contents:
- WKB Analysis: Preliminary Analysis; Weak Nonlinearity; Modulated Energy Functionals; Point-wise Description; Some Instability Phenomena; Caustic Crossing: The Case of Focal Points: Caustic Crossing: Formal Analysis; Focal Point without External Potential; Focal Point with a Potential; Some Ideas for Supercritical Cases.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- Includes bibliographical references (p. 233-241) and index.
- ISBN:
- 9786611934217
- 9781281934215
- 1281934216
- 9789812793133
- 9812793135
- OCLC:
- 560636924
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