Hardcover ISBN: | 978-0-8218-4910-1 |
Product Code: | CHEL/369.H |
List Price: | $69.00 |
MAA Member Price: | $62.10 |
AMS Member Price: | $62.10 |
eBook ISBN: | 978-1-4704-1577-8 |
Product Code: | CHEL/369.H.E |
List Price: | $65.00 |
MAA Member Price: | $58.50 |
AMS Member Price: | $52.00 |
Hardcover ISBN: | 978-0-8218-4910-1 |
eBook: ISBN: | 978-1-4704-1577-8 |
Product Code: | CHEL/369.H.B |
List Price: | $134.00 $101.50 |
MAA Member Price: | $120.60 $91.35 |
AMS Member Price: | $114.10 $91.35 |
Hardcover ISBN: | 978-0-8218-4910-1 |
Product Code: | CHEL/369.H |
List Price: | $69.00 |
MAA Member Price: | $62.10 |
AMS Member Price: | $62.10 |
eBook ISBN: | 978-1-4704-1577-8 |
Product Code: | CHEL/369.H.E |
List Price: | $65.00 |
MAA Member Price: | $58.50 |
AMS Member Price: | $52.00 |
Hardcover ISBN: | 978-0-8218-4910-1 |
eBook ISBN: | 978-1-4704-1577-8 |
Product Code: | CHEL/369.H.B |
List Price: | $134.00 $101.50 |
MAA Member Price: | $120.60 $91.35 |
AMS Member Price: | $114.10 $91.35 |
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Book DetailsAMS Chelsea PublishingVolume: 369; 1965; 210 ppMSC: Primary 35
This book, which is a new edition of a book originally published in 1965, presents an introduction to the theory of higher-order elliptic boundary value problems. The book contains a detailed study of basic problems of the theory, such as the problem of existence and regularity of solutions of higher-order elliptic boundary value problems. It also contains a study of spectral properties of operators associated with elliptic boundary value problems. Weyl's law on the asymptotic distribution of eigenvalues is studied in great generality.
ReadershipGraduate students and research mathematicians interested in partial differential equations.
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Table of Contents
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Chapters
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Chapter 0. Notations and conventions
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Chapter 1. Calculus of $L^2$ derivatives—Local properties
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Chapter 2. Calculus of $L^2$ derivatives—Global properties
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Chapter 3. Some inequalities
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Chapter 4. Elliptic operators
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Chapter 5. Local existence theory
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Chapter 6. Local regularity of solutions of elliptic systems
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Chapter 7. Gårding’s inequality
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Chapter 8. Global existence
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Chapter 9. Global regularity of solutions of strongly elliptic equations
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Chapter 10. Coerciveness
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Chapter 11. Coerciveness results of Aronszajn and Smith
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Chapter 12. Some results on linear transformations on a Hilbert space
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Chapter 13. Spectral theory of abstract operators
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Chapter 14. Eigenvalue problems for elliptic equations; The self-adjoint case
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Chapter 15. Non-self-adjoint eigenvalue problems
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Chapter 16. Completeness of the eigenfunctions
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Additional Material
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Reviews
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...It is abundantly clear that this is a first rate exposition of beautiful material.
MAA Reviews
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
This book, which is a new edition of a book originally published in 1965, presents an introduction to the theory of higher-order elliptic boundary value problems. The book contains a detailed study of basic problems of the theory, such as the problem of existence and regularity of solutions of higher-order elliptic boundary value problems. It also contains a study of spectral properties of operators associated with elliptic boundary value problems. Weyl's law on the asymptotic distribution of eigenvalues is studied in great generality.
Graduate students and research mathematicians interested in partial differential equations.
-
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
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Chapter 7. Gårding’s inequality
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Chapter 8. Global existence
-
Chapter 9. Global regularity of solutions of strongly elliptic equations
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Chapter 10. Coerciveness
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Chapter 11. Coerciveness results of Aronszajn and Smith
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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
-
...It is abundantly clear that this is a first rate exposition of beautiful material.
MAA Reviews