Skip to content
Strongly Elliptic Systems and Boundary Integral Equations

Strongly Elliptic Systems and Boundary Integral Equations


  • Date Published: March 2000
  • availability: Available
  • format: Paperback
  • isbn: 9780521663755

£ 32.99

Add to cart Add to wishlist

Other available formats:

Looking for an inspection copy?

This title is not currently available on inspection

Product filter button
About the Authors
  • Partial differential equations provide mathematical models of many important problems in the physical sciences and engineering. This book, first published in 2000, treats one class of such equations, concentrating on methods involving the use of surface potentials. It provided the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains. Included are chapters on three specific examples: the Laplace equation, the Helmholtz equation and the equations of linear elasticity. The book is designed to provide an ideal preparation for studying the modern research literature on boundary element methods.

    • Emphasises Fredholm integrals of the first kind, now preferred for numerical methods
    • Provides a solid background in Sobolev spaces
    • Ideal as a textbook for graduate courses
    Read more

    Reviews & endorsements

    '… well written and provides a good preparation for studying the modern research literature or a good base for a graduatge course.' G. Teschl, Monatshefte für Mathematik

    '… a good source of information for scientists and engineers interested in learning about boundary integral equation techniques …'. C. Constanda, Proceedings of the Edinburgh Mathematical Society

    'The author is to be congratulated on successfully establishing a bridge between basic undergraduate material and the modern research literature in boundary element methods … Compliments are due both to the author and also to his numerous associates - duly acknowledged in the preface - for generating a concise and professional presentation of conceptually difficult material.' The Mathematical Gazette

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: March 2000
    • format: Paperback
    • isbn: 9780521663755
    • length: 372 pages
    • dimensions: 229 x 152 x 23 mm
    • weight: 0.512kg
    • contains: 4 b/w illus.
    • availability: Available
  • Table of Contents

    1. Abstract linear equations
    2. Sobolev spaces
    3. Strongly elliptic systems
    4. Homogeneous distributions
    5. Surface potentials
    6. Boundary integral equations
    7. The Laplace equation
    8. The Helmholtz equation
    9. Linear elasticity
    Appendix A. Extension operators for Sobolev spaces
    Appendix B. Interpolation spaces
    Appendix C. Further properties of spherical harmonics
    Index of notation

  • Resources for

    Strongly Elliptic Systems and Boundary Integral Equations

    William McLean

    General Resources

    Find resources associated with this title

    Type Name Unlocked * Format Size

    Showing of

    Back to top

    This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to lecturers whose faculty status has been verified. To gain access to locked resources, lecturers should sign in to or register for a Cambridge user account.

    Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other lecturers may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.

    Supplementary resources are subject to copyright. Lecturers are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.

    If you are having problems accessing these resources please contact

  • Author

    William McLean, University of New South Wales, Sydney

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.