Distributions, Sobolev Spaces, Elliptic Equations
Dorothee D. Haroske
University of Jena, GermanyHans Triebel
University of Jena, Germany
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FrontmatterDownload pp. i–iv | |
PrefaceDownload pp. v–vi | |
ContentsDownload pp. vii–ix | |
1 | The Laplace–Poisson equationpp. 1–24 |
2 | Distributionspp. 25–55 |
3 | Sobolev spaces on and pp. 56–86 |
4 | Sobolev spaces on domainspp. 87–116 |
5 | Elliptic operators in pp. 117–181 |
6 | Spectral theory in Hilbert spaces and Banach spacespp. 182–213 |
7 | Compact embeddings, spectral theory of elliptic operatorspp. 214–244 |
A | Domains, basic spaces, and integral formulaepp. 245–249 |
B | Orthonormal bases of trigonometric functionspp. 250–251 |
C | Operator theorypp. 252–258 |
D | Some integral inequalitiespp. 259–260 |
E | Function spacespp. 261–267 |
Selected solutionspp. 269–274 | |
Bibliographypp. 275–282 | |
Author indexpp. 283–284 | |
List of Figuresp. 285 | |
Notation indexpp. 287–289 | |
Subject indexpp. 291–294 |