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Sobolev Spaces on Domains

✍ Scribed by Prof. Dr. Victor I. Burenkov (auth.)

Publisher
Vieweg+Teubner Verlag
Year
1998
Tongue
German
Leaves
312
Series
TEUBNER-TEXTE zur Mathematik 137
Edition
1
Category
Library
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✦ Synopsis

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

✦ Table of Contents

Front Matter....Pages 1-10
Notation and basic inequalities....Pages 11-14
Preliminaries....Pages 15-38
Approximation by infinitely differentiable functions....Pages 39-80
Sobolev’s integral representation....Pages 81-118
Embedding theorems....Pages 119-196
Trace theorems....Pages 197-246
Extension theorems....Pages 247-288
Comments....Pages 289-296
Back Matter....Pages 297-312

✦ Subjects

Analysis

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Sobolev Spaces on Riemannian Manifolds
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