Wave Equations on Silent Big Bang Backgrounds

Hans Ringstrom (Autor)

Buch | Softcover

266 Seiten

2025
American Mathematical Society (Verlag)
978-1-4704-7731-8 (ISBN)

Infos

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Autor

Hans Ringstrom, KTH Royal Institute of Technology, Stockholm, Sweden

Inhalt

1. Introduction
2. Basic notions and previous results
3. Assumptions
4. Results and outline
2. Geometry
5. Basic properties of the frame adapted to the eigenspaces of $/mathcal {K}$
6. Lie derivatives of the frame
7. Estimating the norm of the elements of the frame
8. Function spaces and estimates
9. Higher order estimates of the Lie derivatives of the elements of the frame
10. Estimates of the components of the metric
3. Wave Equations
11. Systems of wave equations, basic energy estimate
12. Commutators
13. Higher order energy estimates, part I
14. Higher order energy estimates, part II
15. Localising the analysis
16. Energy estimates in causally localised regions
17. Deriving asymptotics
18. Specifying the asymptotics
4. Appendices
A. Terminology and justification of assumptions
B. Gagliardo-Nirenberg estimates
C. Examples

Produkt-Details

• Erscheinungsdatum: 26.11.2025
• Reihe/Serie: Memoirs of the American Mathematical Society
• Verlagsort: Providence
• Sprache: englisch
• Maße: 178 x 254 mm
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• ISBN-10: 1-4704-7731-9 / 1470477319
• ISBN-13: 978-1-4704-7731-8 / 9781470477318
• Zustand: Neuware