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Global Solutions of Nonlinear Schrödinger Equations

About this Title

J. Bourgain, Institute for Advanced Study, Princeton, NJ

Publication: Colloquium Publications
Publication Year: 1999; Volume 46
ISBNs: 978-0-8218-1919-7 (print); 978-1-4704-3192-1 (online)
DOI: https://doi.org/10.1090/coll/046
MathSciNet review: MR1691575
MSC: Primary 35Q55; Secondary 35Bxx, 37K55, 37L50

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Table of Contents

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Front/Back Matter

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Chapters

• Chapter 1. Introduction and summary
• Chapter 2. An overview of results on the Cauchy problem for NLS
• Chapter 3. Further comments
• Chapter 4. 3D $H^1$-critical defocusing NLS
• Chapter 5. Global wellposedness below energy norm
• Chapter 6. Nonlinear Schrödinger equation with periodic boundary conditions
• Appendix 1. Growth of Sobolev norms in linear Schrödinger equations with smooth time dependent potential
• Appendix 2. Zakharov systems