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Semilinear Schrödinger Equations
About this Title
Thierry Cazenave, Université de Paris VI, Pierre et Marie Curie, Paris, France
Publication: Courant Lecture Notes
Publication Year:
2003; Volume 10
ISBNs: 978-0-8218-3399-5 (print); 978-1-4704-1760-4 (online)
DOI: https://doi.org/10.1090/cln/010
MathSciNet review: MR2002047
MSC: Primary 35Q55; Secondary 35-01, 35J10, 35Q40
Table of Contents
Front/Back Matter
Chapters
- Chapter 1. Preliminaries
- Chapter 2. The linear Schrödinger equation
- Chapter 3. The Cauchy problem in a general domain
- Chapter 4. The local Cauchy problem
- Chapter 5. Regularity and the smoothing effect
- Chapter 6. Global existence and finite-time blowup
- Chapter 7. Asymptotic behavior in the repulsive case
- Chapter 8. Stability of bound states in the attractive case
- Chapter 9. Further results