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Lectures on Elliptic Boundary Value Problems
About this Title
Shmuel Agmon, Hebrew University of Jerusalem, Jerusalem, Israel
Publication: AMS Chelsea Publishing
Publication Year:
1965; Volume 369
ISBNs: 978-0-8218-4910-1 (print); 978-1-4704-1577-8 (online)
DOI: https://doi.org/10.1090/chel/369
Table of Contents
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Front/Back Matter
Chapters
- Chapter 0. Notations and conventions
- Chapter 1. Calculus of $L^2$ derivatives—Local properties
- Chapter 2. Calculus of $L^2$ derivatives—Global properties
- Chapter 3. Some inequalities
- Chapter 4. Elliptic operators
- Chapter 5. Local existence theory
- Chapter 6. Local regularity of solutions of elliptic systems
- Chapter 7. Gårding’s inequality
- Chapter 8. Global existence
- Chapter 9. Global regularity of solutions of strongly elliptic equations
- Chapter 10. Coerciveness
- Chapter 11. Coerciveness results of Aronszajn and Smith
- Chapter 12. Some results on linear transformations on a Hilbert space
- Chapter 13. Spectral theory of abstract operators
- Chapter 14. Eigenvalue problems for elliptic equations; The self-adjoint case
- Chapter 15. Non-self-adjoint eigenvalue problems
- Chapter 16. Completeness of the eigenfunctions