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 |