Sobolev Spaces on Domains

  • Victor I. Burenkov

Part of the TEUBNER-TEXTE zur Mathematik book series (TTZM, volume 137)

Table of contents

  1. Front Matter
    Pages 1-10
  2. Victor I. Burenkov
    Pages 11-14
  3. Victor I. Burenkov
    Pages 15-38
  4. Victor I. Burenkov
    Pages 81-118
  5. Victor I. Burenkov
    Pages 119-196
  6. Victor I. Burenkov
    Pages 197-246
  7. Victor I. Burenkov
    Pages 247-288
  8. Victor I. Burenkov
    Pages 289-296
  9. Back Matter
    Pages 297-312

About this book


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


Approximation Extension Integral Lehrsatz Notation Randelementmethode Sobolev-Raum

Authors and affiliations

  • Victor I. Burenkov
    • 1
  1. 1.University of WalesCardiffUK

Bibliographic information

  • DOI
  • Copyright Information Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH, Wiesbaden 1998
  • Publisher Name Vieweg+Teubner Verlag, Wiesbaden
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-8154-2068-3
  • Online ISBN 978-3-663-11374-4
  • Series Print ISSN 0138-502X
  • Buy this book on publisher's site