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Birkhäuser

Boundary Integral Equations on Contours with Peaks

  • Book
  • © 2010

Overview

Authors:
  1. Vladimir G. Maz’ya

    1. Department of Mathematical Sciences, University of Liverpool, Liverpool, UK
      Department of Mathematics, Linköping University, Linköping, Sweden

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  2. Alexander A. Soloviev

    1. Department of Mathematics, Chelyabinsk State University, Chelyabinsk, Russia

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Editors:
  1. Tatyana Shaposhnikova
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  • The only book dedicated to boundary integral equations for non-Lipschitz domains
  • New method, different from the traditional approach based on the theories of Fredholm and singular integral operators
  • Detailed study of both functional analytic and asymptotic properties of solutions
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 196)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-xi
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  2. L p -theory of Boundary Integral Equations on a Contour with Peak

    • Vladimir G. Maz’ya, Alexander A. Soloviev
    Pages 1-100

  3. Boundary Integral Equations in Hölder Spaces on a Contour with Peak

    • Vladimir G. Maz’ya, Alexander A. Soloviev
    Pages 101-213

  4. Asymptotic Formulae for Solutions of Boundary Integral Equations Near Peaks

    • Vladimir G. Maz’ya, Alexander A. Soloviev
    Pages 215-272

  5. Integral Equations of Plane Elasticity in Domains with Peak

    • Vladimir G. Maz’ya, Alexander A. Soloviev
    Pages 273-334

  6. Back Matter

    Pages 335-342
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Keywords

Authors and Affiliations

  • Department of Mathematical Sciences, University of Liverpool, Liverpool, UK

    Vladimir G. Maz’ya

  • Department of Mathematics, Linköping University, Linköping, Sweden

    Vladimir G. Maz’ya

  • Department of Mathematics, Chelyabinsk State University, Chelyabinsk, Russia

    Alexander A. Soloviev

Bibliographic Information

  • Book Title: Boundary Integral Equations on Contours with Peaks

  • Authors: Vladimir G. Maz’ya, Alexander A. Soloviev

  • Editors: Tatyana Shaposhnikova

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-0346-0171-9

  • Publisher: Birkhäuser Basel

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Birkhäuser Basel 2010

  • Hardcover ISBN: 978-3-0346-0170-2Published: 19 November 2009

  • eBook ISBN: 978-3-0346-0171-9Published: 08 January 2010

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: XI, 344

  • Topics: Integral Equations

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