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Lectures on Elliptic Boundary Value Problems

Shmuel Agmon Hebrew University of Jerusalem, Jerusalem, Israel
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
Available Formats:
Hardcover ISBN: 978-0-8218-4910-1
Product Code: CHEL/369.H
210 pp
List Price: $45.00 MAA Member Price:$40.50
AMS Member Price: $40.50 Electronic ISBN: 978-1-4704-1577-8 Product Code: CHEL/369.H.E 210 pp List Price:$42.00
MAA Member Price: $37.80 AMS Member Price:$33.60
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List Price: $67.50 MAA Member Price:$60.75
AMS Member Price: $60.75 Click above image for expanded view Lectures on Elliptic Boundary Value Problems Shmuel Agmon Hebrew University of Jerusalem, Jerusalem, Israel AMS Chelsea Publishing: An Imprint of the American Mathematical Society Available Formats:  Hardcover ISBN: 978-0-8218-4910-1 Product Code: CHEL/369.H 210 pp  List Price:$45.00 MAA Member Price: $40.50 AMS Member Price:$40.50
 Electronic ISBN: 978-1-4704-1577-8 Product Code: CHEL/369.H.E 210 pp
 List Price: $42.00 MAA Member Price:$37.80 AMS Member Price: $33.60 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version. List Price:$67.50
MAA Member Price: $60.75 AMS Member Price:$60.75
• Book Details

AMS Chelsea Publishing
Volume: 3691965
MSC: 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.

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
• 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

• Reviews

• ...It is abundantly clear that this is a first rate exposition of beautiful material.

MAA Reviews
• Request Review Copy
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Volume: 3691965
MSC: 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.

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
• 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
• ...It is abundantly clear that this is a first rate exposition of beautiful material.

MAA Reviews
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