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Lectures on Elliptic Boundary Value Problems
 
Shmuel Agmon Hebrew University of Jerusalem, Jerusalem, Israel
Lectures on Elliptic Boundary Value Problems
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
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
Lectures on Elliptic Boundary Value Problems
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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
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
  • Book Details
     
     
    AMS Chelsea Publishing
    Volume: 3691965; 210 pp
    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.

    Readership

    Graduate students and research mathematicians interested in partial differential equations.

  • Table of Contents
     
     
    • 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
  • Additional Material
     
     
  • Reviews
     
     
    • ...It is abundantly clear that this is a first rate exposition of beautiful material.

      MAA Reviews
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 3691965; 210 pp
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.

Readership

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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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