Skip to main content

Walsh's theorem for the heat equation

  • 2597 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 564)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D.Colton, The Solution of Boundary Value Problems by the Method of Integral Operators, Pitman Press Lecture Note Series, Pitman Press, London, to appear.

    Google Scholar 

  2. D.Colton and W.Watzlawek, Complete families of solutions to the heat equation and generalized heat equation in ℝn, to appear.

    Google Scholar 

  3. R.P. Gilbert, Constructive Methods for Elliptic Equations, Springer-Verlag Lecture Note Series, Vol.365, Springer Verlag, Berlin, 1974.

    MATH  Google Scholar 

  4. W.Rundell and M.Stecher, A method of ascent for parabolic and pseudoparabolic partial differential equations, SIAM J. Math.Anal., to appear.

    Google Scholar 

  5. J.L. Walsh, Interpolation and Approximation by Rational Functions in the Complex Domain, American Mathematical Society, Providence, 1965.

    MATH  Google Scholar 

  6. D.V. Widder, Some analogies from classical analysis in the theory of heat conduction, Arch.Rat.Mech.Anal. 21(1966),108–119.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1976 Springer-Verlag

About this paper

Cite this paper

Colton, D. (1976). Walsh's theorem for the heat equation. In: Everitt, W.N., Sleeman, B.D. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 564. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087326

Download citation

  • DOI: https://doi.org/10.1007/BFb0087326

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08058-9

  • Online ISBN: 978-3-540-37517-3

  • eBook Packages: Springer Book Archive