Skip to main content

Remarks on the Stability of Steady-State Solutions of Reaction-Diffusion Equations

  • Conference paper
Book cover Bifurcation Phenomena in Mathematical Physics and Related Topics

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 54))

Abstract

In this note we shall describe a new approach to the stability problem for steady-state solutions of reaction- diffusion equations. We shall explain our techniques and results by discussing a few examples which model quite well the general theory.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Conley, Charles, Isolated Invariant Sets and the Morse Index, Conf. Board of the Math. Sci., No. 38, A.M.S., Providence, 1978

    Google Scholar 

  2. Fife, Paul, Bull. Amer. Math. Soc., 84, 693–726, (1978)

    Article  Google Scholar 

  3. Smoller, J., Tromba, A., and A. Wasserman, J. of Nonlinear Anal., to appear

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1980 D. Reidel Publishing Company

About this paper

Cite this paper

Conley, C., Smoller, J. (1980). Remarks on the Stability of Steady-State Solutions of Reaction-Diffusion Equations. In: Bardos, C., Bessis, D. (eds) Bifurcation Phenomena in Mathematical Physics and Related Topics. NATO Advanced Study Institutes Series, vol 54. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9004-3_2

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-9004-3_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-9006-7

  • Online ISBN: 978-94-009-9004-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics