Sobolev Spaces on Domains

1998
ISBN: 978-3-8154-2068-3
Verlag: Vieweg+Teubner Verlag

Buch, Deutsch, Band 137, 312 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 548 g

Reihe: Teubner-Texte zur Mathematik

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

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Burenkov, Victor I.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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.