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Existence and persistence of invariant manifolds for semiflows in Banach space
About this Title
Peter W. Bates, Kening Lu and Chongchun Zeng
Publication: Memoirs of the American Mathematical Society
Publication Year:
1998; Volume 135, Number 645
ISBNs: 978-0-8218-0868-9 (print); 978-1-4704-0234-1 (online)
DOI: https://doi.org/10.1090/memo/0645
MathSciNet review: 1445489
MSC: Primary 58F30; Secondary 34G20, 35B40, 47H20, 58F15, 58F39
Table of Contents
Chapters
- 1. Introduction
- 2. Notation and preliminaries
- 3. Statements of theorems
- 4. Local coordinate systems
- 5. Cone lemmas
- 6. Center-unstable manifold
- 7. Center-stable manifold
- 8. Smoothness of center-stable manifolds
- 9. Smoothness of center-unstable manifolds
- 10. Persistence of invariant manifold
- 11. Persistence of normal hyperbolicity
- 12. Invariant manifolds for perturbed semiflow