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Sobolev Spaces on Domains

  • Textbook
  • © 1998

Overview

Authors:
  1. Victor I. Burenkov

    1. University of Wales, Cardiff, UK

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Part of the book series: Teubner-Texte zur Mathematik (TTZM, volume 137)

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Table of contents (8 chapters)

  1. Front Matter

    Pages 1-10
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  2. Notation and basic inequalities

    • Victor I. Burenkov
    Pages 11-14

  3. Preliminaries

    • Victor I. Burenkov
    Pages 15-38

  4. Approximation by infinitely differentiable functions

    • Victor I. Burenkov
    Pages 39-80

  5. Sobolev’s integral representation

    • Victor I. Burenkov
    Pages 81-118

  6. Embedding theorems

    • Victor I. Burenkov
    Pages 119-196

  7. Trace theorems

    • Victor I. Burenkov
    Pages 197-246

  8. Extension theorems

    • Victor I. Burenkov
    Pages 247-288

  9. Comments

    • Victor I. Burenkov
    Pages 289-296

  10. Back Matter

    Pages 297-312
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Keywords

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

Authors and Affiliations

  • University of Wales, Cardiff, UK

    Victor I. Burenkov

Bibliographic Information

  • Book Title: Sobolev Spaces on Domains

  • Authors: Victor I. Burenkov

  • Series Title: Teubner-Texte zur Mathematik

  • DOI: https://doi.org/10.1007/978-3-663-11374-4

  • Publisher: Vieweg+Teubner Verlag Wiesbaden

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Fachmedien Wiesbaden 1998

  • Softcover ISBN: 978-3-8154-2068-3Published: 01 January 1998

  • eBook ISBN: 978-3-663-11374-4Published: 02 July 2013

  • Series ISSN: 0138-502X

  • Edition Number: 1

  • Number of Pages: 312

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Analysis

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