Hardcover ISBN:  9780821849101 
Product Code:  CHEL/369.H 
List Price:  $69.00 
MAA Member Price:  $62.10 
AMS Member Price:  $62.10 
eBook ISBN:  9781470415778 
Product Code:  CHEL/369.H.E 
List Price:  $65.00 
MAA Member Price:  $58.50 
AMS Member Price:  $52.00 
Hardcover ISBN:  9780821849101 
eBook: ISBN:  9781470415778 
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:  9780821849101 
Product Code:  CHEL/369.H 
List Price:  $69.00 
MAA Member Price:  $62.10 
AMS Member Price:  $62.10 
eBook ISBN:  9781470415778 
Product Code:  CHEL/369.H.E 
List Price:  $65.00 
MAA Member Price:  $58.50 
AMS Member Price:  $52.00 
Hardcover ISBN:  9780821849101 
eBook ISBN:  9781470415778 
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 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 higherorder 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 higherorder 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.

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 selfadjoint case

Chapter 15. Nonselfadjoint 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


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This book, which is a new edition of a book originally published in 1965, presents an introduction to the theory of higherorder 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 higherorder 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 selfadjoint case

Chapter 15. Nonselfadjoint eigenvalue problems

Chapter 16. Completeness of the eigenfunctions

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