Skip to content
Register Sign in Wishlist

The One-Dimensional Heat Equation

£78.99

Part of Encyclopedia of Mathematics and its Applications

Felix E. Browder
View all contributors
  • Date Published: November 2008
  • availability: Available
  • format: Paperback
  • isbn: 9780521089449

£ 78.99
Paperback

Add to cart Add to wishlist

Other available formats:
Hardback, eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • This is a version of Gevrey's classical treatise on the heat equations. Included in this volume are discussions of initial and/or boundary value problems, numerical methods, free boundary problems and parameter determination problems. The material is presented as a monograph and/or information source book. After the first six chapters of standard classical material, each chapter is written as a self-contained unit except for an occasional reference to elementary definitions, theorems and lemmas in previous chapters.

    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: November 2008
    • format: Paperback
    • isbn: 9780521089449
    • length: 512 pages
    • dimensions: 234 x 156 x 26 mm
    • weight: 0.71kg
    • availability: Available
  • Table of Contents

    Editor's statement
    Foreword Felix E. Browder
    Preface
    Preliminaries
    1. Introduction
    2. The Cauchy problem
    3. The initial-value problem
    4. The initial-boundary-value problem for the quarter plane with temperature-boundary specification
    5. The initial-boundary-value problem for the quarter plane with heat-flux-boundary specification
    6. The initial-boundary-value problem for the semi-infinite strip with temperature-boundary specification and heat-flux-boundary specification
    7. The reduction of some initial-boundary-value problems for the semi-infinite strip, to integral equations: some exercises
    8. Integral equations
    9. Solutions of boundary-value problems for all times and periodic solutions
    10. Analyticity of solutions
    11. Continuous dependence upon the data for some state-estimation problems
    12. Some numerical methods for some state-estimation problems
    13. Determination of an unknown time-dependent diffusivity a(t) from overspecified data
    14. Initial- and/or boundary-value problems for gneral regions with Hölder continuous boundaries
    15. Some properties of solutions in general domains
    16. The solution in a general region with temperature-boundary specification: the method of perron-poincaré
    17. The one-phase stefan problem with temperature-boundary specification
    18. The one-phase stefan problem with flux-boundary specification: some exercises
    19. The inhomogeneous heat equation ut=uxx+f(x,t)
    20. An application of the inhomogeneous heat equation: the equation ut=uxx+f(x,t,u,ux)
    Symbol index
    Subject index.

  • Author

    John Rozier Cannon, University of Central Florida

    Foreword

    Felix E. Browder

    Contributors

    Felix E. Browder

Related Books

Sorry, this resource is locked

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

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 www.ebooks.com. Please see the permission section of the www.ebooks.com 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.

Cancel

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.
×