Sobolev Spaces on Domains
Seiten
1998
Vieweg & Teubner (Verlag)
978-3-8154-2068-3 (ISBN)
Vieweg & Teubner (Verlag)
978-3-8154-2068-3 (ISBN)
The book is intended for graduate and post-graduate students and for researchers, especially those who are not specialists in the theory of function spaces and need to use Sobolov spaces as a tool in their investigations. The main concern is with Sobolev spaces defined in domains. The main topics are approximations by infinitely differentiable functions, integral representations, embedding, trace and extension theorems.
The book is intended for graduate and post-graduate students and for researchers, especially those who are not specialists in the theory of function spaces and need to use Sobolov spaces as a tool in their investigations. The main concern is with Sobolev spaces defined in domains. The main topics are approximations by infinitely differentiable functions, integral representations, embedding, trace and extension theorems. Contents Preliminaries / Approximation by infitely differentiable functions / Sobolev's integral representation / Embedding theorems / Trace theorems / Extensions theorems / Comments Bibliography / Index
The book is intended for graduate and post-graduate students and for researchers, especially those who are not specialists in the theory of function spaces and need to use Sobolov spaces as a tool in their investigations. The main concern is with Sobolev spaces defined in domains. The main topics are approximations by infinitely differentiable functions, integral representations, embedding, trace and extension theorems. Contents Preliminaries / Approximation by infitely differentiable functions / Sobolev's integral representation / Embedding theorems / Trace theorems / Extensions theorems / Comments Bibliography / Index
Notation and basic inequalities.- 1 Preliminaries.- 2 Approximation by infinitely differentiable functions.- 3 Sobolev's integral representation.- 4 Embedding theorems.- 5 Trace theorems.- 6 Extension theorems.- 7 Comments.
| Erscheint lt. Verlag | 1.1.1998 |
|---|---|
| Reihe/Serie | Teubner-Texte zur Mathematik |
| Zusatzinfo | 312 S. 1 Abb. |
| Verlagsort | Wiesbaden |
| Sprache | deutsch |
| Maße | 170 x 244 mm |
| Gewicht | 498 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Schlagworte | Approximation • Differenzialgleichungen • extension • Funktionsraum • Hardcover, Softcover / Mathematik/Sonstiges • HC/Mathematik/Sonstiges • Integral • Lehrsatz • Notation • Randelementmethode • Sobolev-Raum • Sobolevräume |
| ISBN-10 | 3-8154-2068-7 / 3815420687 |
| ISBN-13 | 978-3-8154-2068-3 / 9783815420683 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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