Overview

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.

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Author:   Hans Ringstrom
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
ISBN:  

9781470477318

ISBN 10:   1470477319
Pages:   266
Publication Date:   10 November 2025
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

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

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Author Information

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

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