**AMS Chelsea Publishing**

Volume: 369;
1965;
210 pp;
Hardcover

MSC: Primary 35;

Print ISBN: 978-0-8218-4910-1

Product Code: CHEL/369.H

List Price: $42.00

Individual Member Price: $37.80

**Electronic ISBN: 978-1-4704-1577-8
Product Code: CHEL/369.H.E**

List Price: $42.00

Individual Member Price: $33.60

#### Supplemental Materials

# Lectures on Elliptic Boundary Value Problems

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*Shmuel Agmon*

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.

#### Table of Contents

# Table of Contents

## Lectures on Elliptic Boundary Value Problems

- Cover Cover11
- Title page iii4
- Preface to the AMS Chelsea edition v6
- Preface vii8
- Contents ix10
- Notations and conventions 112
- Calculus of 𝐿² derivatives—Local properties 314
- Calculus of 𝐿² derivatives—Global properties 1122
- Some inequalities 1728
- Elliptic operators 3344
- Local existence theory 3546
- Local regularity of solutions of elliptic systems 3950
- Gårding’s inequality 5364
- Global existence 6576
- Global regularity of solutions of strongly elliptic equations 7586
- Coerciveness 95106
- Coerciveness results of Aronszajn and Smith 107118
- Some results on linear transformations on a Hilbert space 125136
- Spectral theory of abstract operators 147158
- Eigenvalue problems for elliptic equations; The self-adjoint case 163174
- Non-self-adjoint eigenvalue problems 185196
- Completeness of the eigenfunctions 197208
- Bibliography 205216
- Notation index 207218
- Index 209220
- Back Cover Back Cover1225

#### Readership

Graduate students and research mathematicians interested in partial differential equations.

#### Reviews

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

`CLN/1.R`

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

`CLN/1.R`

-- MAA Reviews