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Lectures on Elliptic Boundary Value Problems

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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

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Table of Contents

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Front/Back Matter

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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