Skip to main content

Invariant sets for semilinear parabolic and elliptic systems

  • 375 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 703)

Keywords

  • Elliptic System
  • Common Fixed Point
  • Bounded Smooth Domain
  • Tangency Condition
  • Holomorphic Semigroup

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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. H. Amann: Invariant sets and existence theorems for semi-linear parabolic and elliptic systems. J. Math. Anal. Appl., to appear.

    Google Scholar 

  2. J. W. Bebernes: Solution set properties for some nonlinear parabolic differential equations. These Proceedings.

    Google Scholar 

  3. K. Chueh, C. Conley, and J. A. Smoller: Positively invariant regions for systems of nonlinear diffusion equations. Indiana Math. J., 26 (1977), 373–392.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. R. H. Martin: Nonlinear Operators and Differential Equations in Banach Spaces. J. Wiley & Sons, New York 1976.

    Google Scholar 

  5. H. F. Weinberger: Invariant sets for weakly coupled parabolic and elliptic systems. Rend. Math., 8 (1975), 295–310.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1979 Spring-Verlag

About this paper

Cite this paper

Amann, H. (1979). Invariant sets for semilinear parabolic and elliptic systems. In: Fábera, J. (eds) Equadiff IV. Lecture Notes in Mathematics, vol 703. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067249

Download citation

  • DOI: https://doi.org/10.1007/BFb0067249

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09116-5

  • Online ISBN: 978-3-540-35519-9

  • eBook Packages: Springer Book Archive