Lectures on elliptic boundary value problems

Cover......Page 1
Title Page......Page 4
Copyright Page......Page 5
Preface......Page 6
Contents......Page 8
1 Calculus of L 2 Derivatives-Local Properties......Page 10
2 Calculus of L 2 Derivatives-Global Properties......Page 20
3 Some Inequalities......Page 26
4 Elliptic Operators......Page 54
5 Local Existence Theory......Page 56
6 Local Regularity of Solutions of Elliptic Systems......Page 60
7 Garding's Inequality......Page 80
8 Global Existence......Page 99
9 Global Regularity of Solutions of Strongly Elliptic Equations......Page 112
10 Coerciveness......Page 143
11 Coerciveness Results of Aronszajn and Smith......Page 160
12 Some Results on Linear Transformations on a Hilbert Space......Page 184
13 Spectral Theory of Abstract Operators......Page 217
14 Eigenvalue Problems for Elliptic Equations; the Self-Adjoint Case......Page 239
15 Non-Self-Adjoint Eigenvalue Problems......Page 270
16 Completeness of the Eigenfunctions......Page 287
Index......Page 299